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Finding the Third Proportional to 198,080 and 269,133

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Solution

The third proportional to 198,080 and 269,133 is: 365,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,080 : 269,133 = 269,133 : x
  2. Step 2: Convert to fraction form
    198,080/269,133 = 269,133/x
  3. Step 3: Cross multiply
    198,080x = 269,133 × 269,133
  4. Step 4: Simplify right side
    198,080x = 72,432,571,689
  5. Step 5: Solve for x
    x = 72,432,571,689/198,080
  6. Step 6: Final answer
    x = 365,673.32

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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.