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Finding the Third Proportional to 151,471 and 237,630

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Solution

The third proportional to 151,471 and 237,630 is: 372,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,471 : 237,630 = 237,630 : x
  2. Step 2: Convert to fraction form
    151,471/237,630 = 237,630/x
  3. Step 3: Cross multiply
    151,471x = 237,630 × 237,630
  4. Step 4: Simplify right side
    151,471x = 56,468,016,900
  5. Step 5: Solve for x
    x = 56,468,016,900/151,471
  6. Step 6: Final answer
    x = 372,797.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.