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Finding the Third Proportional to 159,952 and 347,026

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Solution

The third proportional to 159,952 and 347,026 is: 752,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,952 : 347,026 = 347,026 : x
  2. Step 2: Convert to fraction form
    159,952/347,026 = 347,026/x
  3. Step 3: Cross multiply
    159,952x = 347,026 × 347,026
  4. Step 4: Simplify right side
    159,952x = 120,427,044,676
  5. Step 5: Solve for x
    x = 120,427,044,676/159,952
  6. Step 6: Final answer
    x = 752,894.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.