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Finding the Third Proportional to 151,494 and 231,300

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Solution

The third proportional to 151,494 and 231,300 is: 353,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,494 : 231,300 = 231,300 : x
  2. Step 2: Convert to fraction form
    151,494/231,300 = 231,300/x
  3. Step 3: Cross multiply
    151,494x = 231,300 × 231,300
  4. Step 4: Simplify right side
    151,494x = 53,499,690,000
  5. Step 5: Solve for x
    x = 53,499,690,000/151,494
  6. Step 6: Final answer
    x = 353,147.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.