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Finding the Third Proportional to 110,776 and 243,704

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Solution

The third proportional to 110,776 and 243,704 is: 536,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,776 : 243,704 = 243,704 : x
  2. Step 2: Convert to fraction form
    110,776/243,704 = 243,704/x
  3. Step 3: Cross multiply
    110,776x = 243,704 × 243,704
  4. Step 4: Simplify right side
    110,776x = 59,391,639,616
  5. Step 5: Solve for x
    x = 59,391,639,616/110,776
  6. Step 6: Final answer
    x = 536,141.76

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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.