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Finding the Third Proportional to 110,857 and 243,856

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Solution

The third proportional to 110,857 and 243,856 is: 536,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,857 : 243,856 = 243,856 : x
  2. Step 2: Convert to fraction form
    110,857/243,856 = 243,856/x
  3. Step 3: Cross multiply
    110,857x = 243,856 × 243,856
  4. Step 4: Simplify right side
    110,857x = 59,465,748,736
  5. Step 5: Solve for x
    x = 59,465,748,736/110,857
  6. Step 6: Final answer
    x = 536,418.53

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