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Finding the Third Proportional to 204,034 and 316,695

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Solution

The third proportional to 204,034 and 316,695 is: 491,563.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,034 : 316,695 = 316,695 : x
  2. Step 2: Convert to fraction form
    204,034/316,695 = 316,695/x
  3. Step 3: Cross multiply
    204,034x = 316,695 × 316,695
  4. Step 4: Simplify right side
    204,034x = 100,295,723,025
  5. Step 5: Solve for x
    x = 100,295,723,025/204,034
  6. Step 6: Final answer
    x = 491,563.77

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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.