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Finding the Third Proportional to 208,001.25 and 449,182.13

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Solution

The third proportional to 208,001.25 and 449,182.13 is: 970,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,001.25 : 449,182.13 = 449,182.13 : x
  2. Step 2: Convert to fraction form
    208,001.25/449,182.13 = 449,182.13/x
  3. Step 3: Cross multiply
    208,001.25x = 449,182.13 × 449,182.13
  4. Step 4: Simplify right side
    208,001.25x = 201,764,581,419.52
  5. Step 5: Solve for x
    x = 201,764,581,419.52/208,001.25
  6. Step 6: Final answer
    x = 970,016.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.