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Finding the Third Proportional to 204,037 and 316,713

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Solution

The third proportional to 204,037 and 316,713 is: 491,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,037 : 316,713 = 316,713 : x
  2. Step 2: Convert to fraction form
    204,037/316,713 = 316,713/x
  3. Step 3: Cross multiply
    204,037x = 316,713 × 316,713
  4. Step 4: Simplify right side
    204,037x = 100,307,124,369
  5. Step 5: Solve for x
    x = 100,307,124,369/204,037
  6. Step 6: Final answer
    x = 491,612.43

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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.