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Finding the Third Proportional to 118,706.25 and 256,140.38

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Solution

The third proportional to 118,706.25 and 256,140.38 is: 552,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,706.25 : 256,140.38 = 256,140.38 : x
  2. Step 2: Convert to fraction form
    118,706.25/256,140.38 = 256,140.38/x
  3. Step 3: Cross multiply
    118,706.25x = 256,140.38 × 256,140.38
  4. Step 4: Simplify right side
    118,706.25x = 65,607,891,705.14
  5. Step 5: Solve for x
    x = 65,607,891,705.14/118,706.25
  6. Step 6: Final answer
    x = 552,691.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.