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Finding the Third Proportional to 111,676 and 207,632

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Solution

The third proportional to 111,676 and 207,632 is: 386,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,676 : 207,632 = 207,632 : x
  2. Step 2: Convert to fraction form
    111,676/207,632 = 207,632/x
  3. Step 3: Cross multiply
    111,676x = 207,632 × 207,632
  4. Step 4: Simplify right side
    111,676x = 43,111,047,424
  5. Step 5: Solve for x
    x = 43,111,047,424/111,676
  6. Step 6: Final answer
    x = 386,036.82

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.