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Finding the Third Proportional to 159,546 and 345,508

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Solution

The third proportional to 159,546 and 345,508 is: 748,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,546 : 345,508 = 345,508 : x
  2. Step 2: Convert to fraction form
    159,546/345,508 = 345,508/x
  3. Step 3: Cross multiply
    159,546x = 345,508 × 345,508
  4. Step 4: Simplify right side
    159,546x = 119,375,778,064
  5. Step 5: Solve for x
    x = 119,375,778,064/159,546
  6. Step 6: Final answer
    x = 748,221.69

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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.