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Finding the Third Proportional to 151,847 and 226,537

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Solution

The third proportional to 151,847 and 226,537 is: 337,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,847 : 226,537 = 226,537 : x
  2. Step 2: Convert to fraction form
    151,847/226,537 = 226,537/x
  3. Step 3: Cross multiply
    151,847x = 226,537 × 226,537
  4. Step 4: Simplify right side
    151,847x = 51,319,012,369
  5. Step 5: Solve for x
    x = 51,319,012,369/151,847
  6. Step 6: Final answer
    x = 337,965.27

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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.