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Finding the Third Proportional to 116,934.75 and 256,884.75

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Solution

The third proportional to 116,934.75 and 256,884.75 is: 564,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,934.75 : 256,884.75 = 256,884.75 : x
  2. Step 2: Convert to fraction form
    116,934.75/256,884.75 = 256,884.75/x
  3. Step 3: Cross multiply
    116,934.75x = 256,884.75 × 256,884.75
  4. Step 4: Simplify right side
    116,934.75x = 65,989,774,782.56
  5. Step 5: Solve for x
    x = 65,989,774,782.56/116,934.75
  6. Step 6: Final answer
    x = 564,329.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.