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Finding the Third Proportional to 114,598.50 and 255,439.50

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Solution

The third proportional to 114,598.50 and 255,439.50 is: 569,373.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,598.50 : 255,439.50 = 255,439.50 : x
  2. Step 2: Convert to fraction form
    114,598.50/255,439.50 = 255,439.50/x
  3. Step 3: Cross multiply
    114,598.50x = 255,439.50 × 255,439.50
  4. Step 4: Simplify right side
    114,598.50x = 65,249,338,160.25
  5. Step 5: Solve for x
    x = 65,249,338,160.25/114,598.50
  6. Step 6: Final answer
    x = 569,373.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.