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Finding the Third Proportional to 111,418 and 238,387

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Solution

The third proportional to 111,418 and 238,387 is: 510,046.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,418 : 238,387 = 238,387 : x
  2. Step 2: Convert to fraction form
    111,418/238,387 = 238,387/x
  3. Step 3: Cross multiply
    111,418x = 238,387 × 238,387
  4. Step 4: Simplify right side
    111,418x = 56,828,361,769
  5. Step 5: Solve for x
    x = 56,828,361,769/111,418
  6. Step 6: Final answer
    x = 510,046.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.