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Finding the Third Proportional to 131,878 and 209,670

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Solution

The third proportional to 131,878 and 209,670 is: 333,349.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,878 : 209,670 = 209,670 : x
  2. Step 2: Convert to fraction form
    131,878/209,670 = 209,670/x
  3. Step 3: Cross multiply
    131,878x = 209,670 × 209,670
  4. Step 4: Simplify right side
    131,878x = 43,961,508,900
  5. Step 5: Solve for x
    x = 43,961,508,900/131,878
  6. Step 6: Final answer
    x = 333,349.83

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