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Finding the Third Proportional to 97,341 and 209,241

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Solution

The third proportional to 97,341 and 209,241 is: 449,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,341 : 209,241 = 209,241 : x
  2. Step 2: Convert to fraction form
    97,341/209,241 = 209,241/x
  3. Step 3: Cross multiply
    97,341x = 209,241 × 209,241
  4. Step 4: Simplify right side
    97,341x = 43,781,796,081
  5. Step 5: Solve for x
    x = 43,781,796,081/97,341
  6. Step 6: Final answer
    x = 449,777.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.