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Finding the Third Proportional to 150,687 and 233,115.47

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Solution

The third proportional to 150,687 and 233,115.47 is: 360,633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,687 : 233,115.47 = 233,115.47 : x
  2. Step 2: Convert to fraction form
    150,687/233,115.47 = 233,115.47/x
  3. Step 3: Cross multiply
    150,687x = 233,115.47 × 233,115.47
  4. Step 4: Simplify right side
    150,687x = 54,342,821,770.53
  5. Step 5: Solve for x
    x = 54,342,821,770.53/150,687
  6. Step 6: Final answer
    x = 360,633.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.