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Finding the Third Proportional to 206,773.59 and 316,243.41

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Solution

The third proportional to 206,773.59 and 316,243.41 is: 483,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,773.59 : 316,243.41 = 316,243.41 : x
  2. Step 2: Convert to fraction form
    206,773.59/316,243.41 = 316,243.41/x
  3. Step 3: Cross multiply
    206,773.59x = 316,243.41 × 316,243.41
  4. Step 4: Simplify right side
    206,773.59x = 100,009,891,996.60
  5. Step 5: Solve for x
    x = 100,009,891,996.60/206,773.59
  6. Step 6: Final answer
    x = 483,668.59

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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.