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Finding the Third Proportional to 159,719 and 341,599

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Solution

The third proportional to 159,719 and 341,599 is: 730,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,719 : 341,599 = 341,599 : x
  2. Step 2: Convert to fraction form
    159,719/341,599 = 341,599/x
  3. Step 3: Cross multiply
    159,719x = 341,599 × 341,599
  4. Step 4: Simplify right side
    159,719x = 116,689,876,801
  5. Step 5: Solve for x
    x = 116,689,876,801/159,719
  6. Step 6: Final answer
    x = 730,594.84

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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.