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Finding the Third Proportional to 113,218 and 237,452

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Solution

The third proportional to 113,218 and 237,452 is: 498,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,218 : 237,452 = 237,452 : x
  2. Step 2: Convert to fraction form
    113,218/237,452 = 237,452/x
  3. Step 3: Cross multiply
    113,218x = 237,452 × 237,452
  4. Step 4: Simplify right side
    113,218x = 56,383,452,304
  5. Step 5: Solve for x
    x = 56,383,452,304/113,218
  6. Step 6: Final answer
    x = 498,007.85

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.