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Finding the Third Proportional to 204,000 and 316,656

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Solution

The third proportional to 204,000 and 316,656 is: 491,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,000 : 316,656 = 316,656 : x
  2. Step 2: Convert to fraction form
    204,000/316,656 = 316,656/x
  3. Step 3: Cross multiply
    204,000x = 316,656 × 316,656
  4. Step 4: Simplify right side
    204,000x = 100,271,022,336
  5. Step 5: Solve for x
    x = 100,271,022,336/204,000
  6. Step 6: Final answer
    x = 491,524.62

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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.