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Finding the Third Proportional to 111,683 and 240,862

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Solution

The third proportional to 111,683 and 240,862 is: 519,456.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,683 : 240,862 = 240,862 : x
  2. Step 2: Convert to fraction form
    111,683/240,862 = 240,862/x
  3. Step 3: Cross multiply
    111,683x = 240,862 × 240,862
  4. Step 4: Simplify right side
    111,683x = 58,014,503,044
  5. Step 5: Solve for x
    x = 58,014,503,044/111,683
  6. Step 6: Final answer
    x = 519,456.88

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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.