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Finding the Third Proportional to 131,633 and 209,241

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Solution

The third proportional to 131,633 and 209,241 is: 332,605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,633 : 209,241 = 209,241 : x
  2. Step 2: Convert to fraction form
    131,633/209,241 = 209,241/x
  3. Step 3: Cross multiply
    131,633x = 209,241 × 209,241
  4. Step 4: Simplify right side
    131,633x = 43,781,796,081
  5. Step 5: Solve for x
    x = 43,781,796,081/131,633
  6. Step 6: Final answer
    x = 332,605.02

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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.