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Finding the Third Proportional to 149,752.13 and 220,230.56

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Solution

The third proportional to 149,752.13 and 220,230.56 is: 323,878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,752.13 : 220,230.56 = 220,230.56 : x
  2. Step 2: Convert to fraction form
    149,752.13/220,230.56 = 220,230.56/x
  3. Step 3: Cross multiply
    149,752.13x = 220,230.56 × 220,230.56
  4. Step 4: Simplify right side
    149,752.13x = 48,501,500,659.07
  5. Step 5: Solve for x
    x = 48,501,500,659.07/149,752.13
  6. Step 6: Final answer
    x = 323,878.55

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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.