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Finding the Third Proportional to 142,478 and 202,517

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Solution

The third proportional to 142,478 and 202,517 is: 287,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,478 : 202,517 = 202,517 : x
  2. Step 2: Convert to fraction form
    142,478/202,517 = 202,517/x
  3. Step 3: Cross multiply
    142,478x = 202,517 × 202,517
  4. Step 4: Simplify right side
    142,478x = 41,013,135,289
  5. Step 5: Solve for x
    x = 41,013,135,289/142,478
  6. Step 6: Final answer
    x = 287,855.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.