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Finding the Third Proportional to 90,766 and 197,275

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Solution

The third proportional to 90,766 and 197,275 is: 428,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,766 : 197,275 = 197,275 : x
  2. Step 2: Convert to fraction form
    90,766/197,275 = 197,275/x
  3. Step 3: Cross multiply
    90,766x = 197,275 × 197,275
  4. Step 4: Simplify right side
    90,766x = 38,917,425,625
  5. Step 5: Solve for x
    x = 38,917,425,625/90,766
  6. Step 6: Final answer
    x = 428,766.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.