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Finding the Third Proportional to 201,872 and 313,471

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Solution

The third proportional to 201,872 and 313,471 is: 486,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,872 : 313,471 = 313,471 : x
  2. Step 2: Convert to fraction form
    201,872/313,471 = 313,471/x
  3. Step 3: Cross multiply
    201,872x = 313,471 × 313,471
  4. Step 4: Simplify right side
    201,872x = 98,264,067,841
  5. Step 5: Solve for x
    x = 98,264,067,841/201,872
  6. Step 6: Final answer
    x = 486,764.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.