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Finding the Third Proportional to 156,950 and 345,571

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Solution

The third proportional to 156,950 and 345,571 is: 760,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,950 : 345,571 = 345,571 : x
  2. Step 2: Convert to fraction form
    156,950/345,571 = 345,571/x
  3. Step 3: Cross multiply
    156,950x = 345,571 × 345,571
  4. Step 4: Simplify right side
    156,950x = 119,419,316,041
  5. Step 5: Solve for x
    x = 119,419,316,041/156,950
  6. Step 6: Final answer
    x = 760,874.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.