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Finding the Third Proportional to 88,180 and 207,908

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Solution

The third proportional to 88,180 and 207,908 is: 490,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,180 : 207,908 = 207,908 : x
  2. Step 2: Convert to fraction form
    88,180/207,908 = 207,908/x
  3. Step 3: Cross multiply
    88,180x = 207,908 × 207,908
  4. Step 4: Simplify right side
    88,180x = 43,225,736,464
  5. Step 5: Solve for x
    x = 43,225,736,464/88,180
  6. Step 6: Final answer
    x = 490,198.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.