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Finding the Third Proportional to 84,530 and 197,561

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Solution

The third proportional to 84,530 and 197,561 is: 461,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,530 : 197,561 = 197,561 : x
  2. Step 2: Convert to fraction form
    84,530/197,561 = 197,561/x
  3. Step 3: Cross multiply
    84,530x = 197,561 × 197,561
  4. Step 4: Simplify right side
    84,530x = 39,030,348,721
  5. Step 5: Solve for x
    x = 39,030,348,721/84,530
  6. Step 6: Final answer
    x = 461,733.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.