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Finding the Third Proportional to 151,474 and 235,200

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Solution

The third proportional to 151,474 and 235,200 is: 365,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,474 : 235,200 = 235,200 : x
  2. Step 2: Convert to fraction form
    151,474/235,200 = 235,200/x
  3. Step 3: Cross multiply
    151,474x = 235,200 × 235,200
  4. Step 4: Simplify right side
    151,474x = 55,319,040,000
  5. Step 5: Solve for x
    x = 55,319,040,000/151,474
  6. Step 6: Final answer
    x = 365,204.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.