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Finding the Third Proportional to 202,153 and 239,059

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Solution

The third proportional to 202,153 and 239,059 is: 282,702.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,153 : 239,059 = 239,059 : x
  2. Step 2: Convert to fraction form
    202,153/239,059 = 239,059/x
  3. Step 3: Cross multiply
    202,153x = 239,059 × 239,059
  4. Step 4: Simplify right side
    202,153x = 57,149,205,481
  5. Step 5: Solve for x
    x = 57,149,205,481/202,153
  6. Step 6: Final answer
    x = 282,702.73

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.