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Finding the Third Proportional to 159,586 and 345,766

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Solution

The third proportional to 159,586 and 345,766 is: 749,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,586 : 345,766 = 345,766 : x
  2. Step 2: Convert to fraction form
    159,586/345,766 = 345,766/x
  3. Step 3: Cross multiply
    159,586x = 345,766 × 345,766
  4. Step 4: Simplify right side
    159,586x = 119,554,126,756
  5. Step 5: Solve for x
    x = 119,554,126,756/159,586
  6. Step 6: Final answer
    x = 749,151.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.