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Finding the Third Proportional to 208,648.50 and 449,691

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Solution

The third proportional to 208,648.50 and 449,691 is: 969,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,648.50 : 449,691 = 449,691 : x
  2. Step 2: Convert to fraction form
    208,648.50/449,691 = 449,691/x
  3. Step 3: Cross multiply
    208,648.50x = 449,691 × 449,691
  4. Step 4: Simplify right side
    208,648.50x = 202,221,995,481
  5. Step 5: Solve for x
    x = 202,221,995,481/208,648.50
  6. Step 6: Final answer
    x = 969,199.37

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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.