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Finding the Third Proportional to 159,707 and 239,565

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Solution

The third proportional to 159,707 and 239,565 is: 359,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,707 : 239,565 = 239,565 : x
  2. Step 2: Convert to fraction form
    159,707/239,565 = 239,565/x
  3. Step 3: Cross multiply
    159,707x = 239,565 × 239,565
  4. Step 4: Simplify right side
    159,707x = 57,391,389,225
  5. Step 5: Solve for x
    x = 57,391,389,225/159,707
  6. Step 6: Final answer
    x = 359,354.25

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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.