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Finding the Third Proportional to 151,444.69 and 234,469.69

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Solution

The third proportional to 151,444.69 and 234,469.69 is: 363,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,444.69 : 234,469.69 = 234,469.69 : x
  2. Step 2: Convert to fraction form
    151,444.69/234,469.69 = 234,469.69/x
  3. Step 3: Cross multiply
    151,444.69x = 234,469.69 × 234,469.69
  4. Step 4: Simplify right side
    151,444.69x = 54,976,034,356.35
  5. Step 5: Solve for x
    x = 54,976,034,356.35/151,444.69
  6. Step 6: Final answer
    x = 363,010.65

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Why These Related Problems?

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