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Finding the Third Proportional to 159,630.75 and 239,006.25

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Solution

The third proportional to 159,630.75 and 239,006.25 is: 357,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,630.75 : 239,006.25 = 239,006.25 : x
  2. Step 2: Convert to fraction form
    159,630.75/239,006.25 = 239,006.25/x
  3. Step 3: Cross multiply
    159,630.75x = 239,006.25 × 239,006.25
  4. Step 4: Simplify right side
    159,630.75x = 57,123,987,539.06
  5. Step 5: Solve for x
    x = 57,123,987,539.06/159,630.75
  6. Step 6: Final answer
    x = 357,850.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.