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Finding the Third Proportional to 176,552 and 226,688

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Solution

The third proportional to 176,552 and 226,688 is: 291,061.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,552 : 226,688 = 226,688 : x
  2. Step 2: Convert to fraction form
    176,552/226,688 = 226,688/x
  3. Step 3: Cross multiply
    176,552x = 226,688 × 226,688
  4. Step 4: Simplify right side
    176,552x = 51,387,449,344
  5. Step 5: Solve for x
    x = 51,387,449,344/176,552
  6. Step 6: Final answer
    x = 291,061.27

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.