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Finding the Third Proportional to 159,791 and 342,026

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Solution

The third proportional to 159,791 and 342,026 is: 732,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,791 : 342,026 = 342,026 : x
  2. Step 2: Convert to fraction form
    159,791/342,026 = 342,026/x
  3. Step 3: Cross multiply
    159,791x = 342,026 × 342,026
  4. Step 4: Simplify right side
    159,791x = 116,981,784,676
  5. Step 5: Solve for x
    x = 116,981,784,676/159,791
  6. Step 6: Final answer
    x = 732,092.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.