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Finding the Third Proportional to 151,472.25 and 328,020.75

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Solution

The third proportional to 151,472.25 and 328,020.75 is: 710,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,472.25 : 328,020.75 = 328,020.75 : x
  2. Step 2: Convert to fraction form
    151,472.25/328,020.75 = 328,020.75/x
  3. Step 3: Cross multiply
    151,472.25x = 328,020.75 × 328,020.75
  4. Step 4: Simplify right side
    151,472.25x = 107,597,612,430.56
  5. Step 5: Solve for x
    x = 107,597,612,430.56/151,472.25
  6. Step 6: Final answer
    x = 710,345.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.