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Finding the Third Proportional to 110,815 and 244,957

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Solution

The third proportional to 110,815 and 244,957 is: 541,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,815 : 244,957 = 244,957 : x
  2. Step 2: Convert to fraction form
    110,815/244,957 = 244,957/x
  3. Step 3: Cross multiply
    110,815x = 244,957 × 244,957
  4. Step 4: Simplify right side
    110,815x = 60,003,931,849
  5. Step 5: Solve for x
    x = 60,003,931,849/110,815
  6. Step 6: Final answer
    x = 541,478.43

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.