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Finding the Third Proportional to 204,052 and 316,722

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Solution

The third proportional to 204,052 and 316,722 is: 491,604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,052 : 316,722 = 316,722 : x
  2. Step 2: Convert to fraction form
    204,052/316,722 = 316,722/x
  3. Step 3: Cross multiply
    204,052x = 316,722 × 316,722
  4. Step 4: Simplify right side
    204,052x = 100,312,825,284
  5. Step 5: Solve for x
    x = 100,312,825,284/204,052
  6. Step 6: Final answer
    x = 491,604.22

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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.