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Finding the Third Proportional to 159,522 and 247,699

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Solution

The third proportional to 159,522 and 247,699 is: 384,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,522 : 247,699 = 247,699 : x
  2. Step 2: Convert to fraction form
    159,522/247,699 = 247,699/x
  3. Step 3: Cross multiply
    159,522x = 247,699 × 247,699
  4. Step 4: Simplify right side
    159,522x = 61,354,794,601
  5. Step 5: Solve for x
    x = 61,354,794,601/159,522
  6. Step 6: Final answer
    x = 384,616.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.