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Finding the Third Proportional to 206,776.97 and 316,248.47

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Solution

The third proportional to 206,776.97 and 316,248.47 is: 483,676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,776.97 : 316,248.47 = 316,248.47 : x
  2. Step 2: Convert to fraction form
    206,776.97/316,248.47 = 316,248.47/x
  3. Step 3: Cross multiply
    206,776.97x = 316,248.47 × 316,248.47
  4. Step 4: Simplify right side
    206,776.97x = 100,013,093,986.72
  5. Step 5: Solve for x
    x = 100,013,093,986.72/206,776.97
  6. Step 6: Final answer
    x = 483,676.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.