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Finding the Third Proportional to 159,584 and 345,762

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Solution

The third proportional to 159,584 and 345,762 is: 749,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,584 : 345,762 = 345,762 : x
  2. Step 2: Convert to fraction form
    159,584/345,762 = 345,762/x
  3. Step 3: Cross multiply
    159,584x = 345,762 × 345,762
  4. Step 4: Simplify right side
    159,584x = 119,551,360,644
  5. Step 5: Solve for x
    x = 119,551,360,644/159,584
  6. Step 6: Final answer
    x = 749,143.78

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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.