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Finding the Third Proportional to 110,942 and 243,002

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Solution

The third proportional to 110,942 and 243,002 is: 532,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,942 : 243,002 = 243,002 : x
  2. Step 2: Convert to fraction form
    110,942/243,002 = 243,002/x
  3. Step 3: Cross multiply
    110,942x = 243,002 × 243,002
  4. Step 4: Simplify right side
    110,942x = 59,049,972,004
  5. Step 5: Solve for x
    x = 59,049,972,004/110,942
  6. Step 6: Final answer
    x = 532,259.85

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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.