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Finding the Third Proportional to 151,787 and 226,450

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Solution

The third proportional to 151,787 and 226,450 is: 337,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,787 : 226,450 = 226,450 : x
  2. Step 2: Convert to fraction form
    151,787/226,450 = 226,450/x
  3. Step 3: Cross multiply
    151,787x = 226,450 × 226,450
  4. Step 4: Simplify right side
    151,787x = 51,279,602,500
  5. Step 5: Solve for x
    x = 51,279,602,500/151,787
  6. Step 6: Final answer
    x = 337,839.23

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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.