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Finding the Third Proportional to 117,794.25 and 256,324.50

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Solution

The third proportional to 117,794.25 and 256,324.50 is: 557,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,794.25 : 256,324.50 = 256,324.50 : x
  2. Step 2: Convert to fraction form
    117,794.25/256,324.50 = 256,324.50/x
  3. Step 3: Cross multiply
    117,794.25x = 256,324.50 × 256,324.50
  4. Step 4: Simplify right side
    117,794.25x = 65,702,249,300.25
  5. Step 5: Solve for x
    x = 65,702,249,300.25/117,794.25
  6. Step 6: Final answer
    x = 557,771.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.