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Finding the Third Proportional to 204,642 and 315,711

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Solution

The third proportional to 204,642 and 315,711 is: 487,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,642 : 315,711 = 315,711 : x
  2. Step 2: Convert to fraction form
    204,642/315,711 = 315,711/x
  3. Step 3: Cross multiply
    204,642x = 315,711 × 315,711
  4. Step 4: Simplify right side
    204,642x = 99,673,435,521
  5. Step 5: Solve for x
    x = 99,673,435,521/204,642
  6. Step 6: Final answer
    x = 487,062.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.