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Finding the Third Proportional to 158,934 and 347,394

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Solution

The third proportional to 158,934 and 347,394 is: 759,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,934 : 347,394 = 347,394 : x
  2. Step 2: Convert to fraction form
    158,934/347,394 = 347,394/x
  3. Step 3: Cross multiply
    158,934x = 347,394 × 347,394
  4. Step 4: Simplify right side
    158,934x = 120,682,591,236
  5. Step 5: Solve for x
    x = 120,682,591,236/158,934
  6. Step 6: Final answer
    x = 759,325.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.