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Finding the Third Proportional to 159,471 and 341,838

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Solution

The third proportional to 159,471 and 341,838 is: 732,755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,471 : 341,838 = 341,838 : x
  2. Step 2: Convert to fraction form
    159,471/341,838 = 341,838/x
  3. Step 3: Cross multiply
    159,471x = 341,838 × 341,838
  4. Step 4: Simplify right side
    159,471x = 116,853,218,244
  5. Step 5: Solve for x
    x = 116,853,218,244/159,471
  6. Step 6: Final answer
    x = 732,755.29

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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.