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Finding the Third Proportional to 151,330 and 332,045

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Solution

The third proportional to 151,330 and 332,045 is: 728,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,330 : 332,045 = 332,045 : x
  2. Step 2: Convert to fraction form
    151,330/332,045 = 332,045/x
  3. Step 3: Cross multiply
    151,330x = 332,045 × 332,045
  4. Step 4: Simplify right side
    151,330x = 110,253,882,025
  5. Step 5: Solve for x
    x = 110,253,882,025/151,330
  6. Step 6: Final answer
    x = 728,565.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.