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Finding the Third Proportional to 111,691 and 240,875

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Solution

The third proportional to 111,691 and 240,875 is: 519,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,691 : 240,875 = 240,875 : x
  2. Step 2: Convert to fraction form
    111,691/240,875 = 240,875/x
  3. Step 3: Cross multiply
    111,691x = 240,875 × 240,875
  4. Step 4: Simplify right side
    111,691x = 58,020,765,625
  5. Step 5: Solve for x
    x = 58,020,765,625/111,691
  6. Step 6: Final answer
    x = 519,475.75

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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.