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Finding the Third Proportional to 159,884 and 341,922

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Solution

The third proportional to 159,884 and 341,922 is: 731,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,884 : 341,922 = 341,922 : x
  2. Step 2: Convert to fraction form
    159,884/341,922 = 341,922/x
  3. Step 3: Cross multiply
    159,884x = 341,922 × 341,922
  4. Step 4: Simplify right side
    159,884x = 116,910,654,084
  5. Step 5: Solve for x
    x = 116,910,654,084/159,884
  6. Step 6: Final answer
    x = 731,221.72

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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.