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Finding the Third Proportional to 159,630 and 239,006

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Solution

The third proportional to 159,630 and 239,006 is: 357,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,630 : 239,006 = 239,006 : x
  2. Step 2: Convert to fraction form
    159,630/239,006 = 239,006/x
  3. Step 3: Cross multiply
    159,630x = 239,006 × 239,006
  4. Step 4: Simplify right side
    159,630x = 57,123,868,036
  5. Step 5: Solve for x
    x = 57,123,868,036/159,630
  6. Step 6: Final answer
    x = 357,851.71

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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.