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Finding the Third Proportional to 131,708 and 209,226

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Solution

The third proportional to 131,708 and 209,226 is: 332,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,708 : 209,226 = 209,226 : x
  2. Step 2: Convert to fraction form
    131,708/209,226 = 209,226/x
  3. Step 3: Cross multiply
    131,708x = 209,226 × 209,226
  4. Step 4: Simplify right side
    131,708x = 43,775,519,076
  5. Step 5: Solve for x
    x = 43,775,519,076/131,708
  6. Step 6: Final answer
    x = 332,367.96

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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.