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Finding the Third Proportional to 110,782 and 243,716

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Solution

The third proportional to 110,782 and 243,716 is: 536,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,782 : 243,716 = 243,716 : x
  2. Step 2: Convert to fraction form
    110,782/243,716 = 243,716/x
  3. Step 3: Cross multiply
    110,782x = 243,716 × 243,716
  4. Step 4: Simplify right side
    110,782x = 59,397,488,656
  5. Step 5: Solve for x
    x = 59,397,488,656/110,782
  6. Step 6: Final answer
    x = 536,165.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.