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Finding the Third Proportional to 204,038 and 316,701

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Solution

The third proportional to 204,038 and 316,701 is: 491,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,038 : 316,701 = 316,701 : x
  2. Step 2: Convert to fraction form
    204,038/316,701 = 316,701/x
  3. Step 3: Cross multiply
    204,038x = 316,701 × 316,701
  4. Step 4: Simplify right side
    204,038x = 100,299,523,401
  5. Step 5: Solve for x
    x = 100,299,523,401/204,038
  6. Step 6: Final answer
    x = 491,572.76

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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.