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Finding the Third Proportional to 159,693 and 345,684

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Solution

The third proportional to 159,693 and 345,684 is: 748,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,693 : 345,684 = 345,684 : x
  2. Step 2: Convert to fraction form
    159,693/345,684 = 345,684/x
  3. Step 3: Cross multiply
    159,693x = 345,684 × 345,684
  4. Step 4: Simplify right side
    159,693x = 119,497,427,856
  5. Step 5: Solve for x
    x = 119,497,427,856/159,693
  6. Step 6: Final answer
    x = 748,294.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.