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Finding the Third Proportional to 149,649 and 220,097.25

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Solution

The third proportional to 149,649 and 220,097.25 is: 323,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,649 : 220,097.25 = 220,097.25 : x
  2. Step 2: Convert to fraction form
    149,649/220,097.25 = 220,097.25/x
  3. Step 3: Cross multiply
    149,649x = 220,097.25 × 220,097.25
  4. Step 4: Simplify right side
    149,649x = 48,442,799,457.56
  5. Step 5: Solve for x
    x = 48,442,799,457.56/149,649
  6. Step 6: Final answer
    x = 323,709.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.