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Finding the Third Proportional to 71,474 and 156,277

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Solution

The third proportional to 71,474 and 156,277 is: 341,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,474 : 156,277 = 156,277 : x
  2. Step 2: Convert to fraction form
    71,474/156,277 = 156,277/x
  3. Step 3: Cross multiply
    71,474x = 156,277 × 156,277
  4. Step 4: Simplify right side
    71,474x = 24,422,500,729
  5. Step 5: Solve for x
    x = 24,422,500,729/71,474
  6. Step 6: Final answer
    x = 341,697.69

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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.