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Finding the Third Proportional to 159,342 and 346,782

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Solution

The third proportional to 159,342 and 346,782 is: 754,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,342 : 346,782 = 346,782 : x
  2. Step 2: Convert to fraction form
    159,342/346,782 = 346,782/x
  3. Step 3: Cross multiply
    159,342x = 346,782 × 346,782
  4. Step 4: Simplify right side
    159,342x = 120,257,755,524
  5. Step 5: Solve for x
    x = 120,257,755,524/159,342
  6. Step 6: Final answer
    x = 754,714.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.