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Finding the Third Proportional to 198,074 and 269,125

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Solution

The third proportional to 198,074 and 269,125 is: 365,662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,074 : 269,125 = 269,125 : x
  2. Step 2: Convert to fraction form
    198,074/269,125 = 269,125/x
  3. Step 3: Cross multiply
    198,074x = 269,125 × 269,125
  4. Step 4: Simplify right side
    198,074x = 72,428,265,625
  5. Step 5: Solve for x
    x = 72,428,265,625/198,074
  6. Step 6: Final answer
    x = 365,662.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.