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Finding the Third Proportional to 110,711 and 176,250

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Solution

The third proportional to 110,711 and 176,250 is: 280,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,711 : 176,250 = 176,250 : x
  2. Step 2: Convert to fraction form
    110,711/176,250 = 176,250/x
  3. Step 3: Cross multiply
    110,711x = 176,250 × 176,250
  4. Step 4: Simplify right side
    110,711x = 31,064,062,500
  5. Step 5: Solve for x
    x = 31,064,062,500/110,711
  6. Step 6: Final answer
    x = 280,586.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.