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Finding the Third Proportional to 111,766 and 240,956

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Solution

The third proportional to 111,766 and 240,956 is: 519,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,766 : 240,956 = 240,956 : x
  2. Step 2: Convert to fraction form
    111,766/240,956 = 240,956/x
  3. Step 3: Cross multiply
    111,766x = 240,956 × 240,956
  4. Step 4: Simplify right side
    111,766x = 58,059,793,936
  5. Step 5: Solve for x
    x = 58,059,793,936/111,766
  6. Step 6: Final answer
    x = 519,476.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.