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Finding the Third Proportional to 202,804 and 269,142

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Solution

The third proportional to 202,804 and 269,142 is: 357,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,804 : 269,142 = 269,142 : x
  2. Step 2: Convert to fraction form
    202,804/269,142 = 269,142/x
  3. Step 3: Cross multiply
    202,804x = 269,142 × 269,142
  4. Step 4: Simplify right side
    202,804x = 72,437,416,164
  5. Step 5: Solve for x
    x = 72,437,416,164/202,804
  6. Step 6: Final answer
    x = 357,179.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.