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Finding the Third Proportional to 151,866 and 226,543

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Solution

The third proportional to 151,866 and 226,543 is: 337,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,866 : 226,543 = 226,543 : x
  2. Step 2: Convert to fraction form
    151,866/226,543 = 226,543/x
  3. Step 3: Cross multiply
    151,866x = 226,543 × 226,543
  4. Step 4: Simplify right side
    151,866x = 51,321,730,849
  5. Step 5: Solve for x
    x = 51,321,730,849/151,866
  6. Step 6: Final answer
    x = 337,940.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.