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Finding the Third Proportional to 110,866 and 243,200

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Solution

The third proportional to 110,866 and 243,200 is: 533,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,866 : 243,200 = 243,200 : x
  2. Step 2: Convert to fraction form
    110,866/243,200 = 243,200/x
  3. Step 3: Cross multiply
    110,866x = 243,200 × 243,200
  4. Step 4: Simplify right side
    110,866x = 59,146,240,000
  5. Step 5: Solve for x
    x = 59,146,240,000/110,866
  6. Step 6: Final answer
    x = 533,493.05

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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.