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Finding the Third Proportional to 159,759 and 250,609.50

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Solution

The third proportional to 159,759 and 250,609.50 is: 393,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,759 : 250,609.50 = 250,609.50 : x
  2. Step 2: Convert to fraction form
    159,759/250,609.50 = 250,609.50/x
  3. Step 3: Cross multiply
    159,759x = 250,609.50 × 250,609.50
  4. Step 4: Simplify right side
    159,759x = 62,805,121,490.25
  5. Step 5: Solve for x
    x = 62,805,121,490.25/159,759
  6. Step 6: Final answer
    x = 393,124.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.