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Finding the Third Proportional to 111,691 and 240,878

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Solution

The third proportional to 111,691 and 240,878 is: 519,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,691 : 240,878 = 240,878 : x
  2. Step 2: Convert to fraction form
    111,691/240,878 = 240,878/x
  3. Step 3: Cross multiply
    111,691x = 240,878 × 240,878
  4. Step 4: Simplify right side
    111,691x = 58,022,210,884
  5. Step 5: Solve for x
    x = 58,022,210,884/111,691
  6. Step 6: Final answer
    x = 519,488.69

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Why These Related Problems?

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