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Finding the Third Proportional to 110,799 and 243,747

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Solution

The third proportional to 110,799 and 243,747 is: 536,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,799 : 243,747 = 243,747 : x
  2. Step 2: Convert to fraction form
    110,799/243,747 = 243,747/x
  3. Step 3: Cross multiply
    110,799x = 243,747 × 243,747
  4. Step 4: Simplify right side
    110,799x = 59,412,600,009
  5. Step 5: Solve for x
    x = 59,412,600,009/110,799
  6. Step 6: Final answer
    x = 536,219.64

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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.