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Finding the Third Proportional to 110,869 and 243,199

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Solution

The third proportional to 110,869 and 243,199 is: 533,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,869 : 243,199 = 243,199 : x
  2. Step 2: Convert to fraction form
    110,869/243,199 = 243,199/x
  3. Step 3: Cross multiply
    110,869x = 243,199 × 243,199
  4. Step 4: Simplify right side
    110,869x = 59,145,753,601
  5. Step 5: Solve for x
    x = 59,145,753,601/110,869
  6. Step 6: Final answer
    x = 533,474.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.