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Finding the Third Proportional to 150,711.75 and 322,151.25

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Solution

The third proportional to 150,711.75 and 322,151.25 is: 688,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,711.75 : 322,151.25 = 322,151.25 : x
  2. Step 2: Convert to fraction form
    150,711.75/322,151.25 = 322,151.25/x
  3. Step 3: Cross multiply
    150,711.75x = 322,151.25 × 322,151.25
  4. Step 4: Simplify right side
    150,711.75x = 103,781,427,876.56
  5. Step 5: Solve for x
    x = 103,781,427,876.56/150,711.75
  6. Step 6: Final answer
    x = 688,608.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.