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Finding the Third Proportional to 118,468 and 256,592

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Solution

The third proportional to 118,468 and 256,592 is: 555,757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,468 : 256,592 = 256,592 : x
  2. Step 2: Convert to fraction form
    118,468/256,592 = 256,592/x
  3. Step 3: Cross multiply
    118,468x = 256,592 × 256,592
  4. Step 4: Simplify right side
    118,468x = 65,839,454,464
  5. Step 5: Solve for x
    x = 65,839,454,464/118,468
  6. Step 6: Final answer
    x = 555,757.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.