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Finding the Third Proportional to 149,505.75 and 223,840.13

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Solution

The third proportional to 149,505.75 and 223,840.13 is: 335,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,505.75 : 223,840.13 = 223,840.13 : x
  2. Step 2: Convert to fraction form
    149,505.75/223,840.13 = 223,840.13/x
  3. Step 3: Cross multiply
    149,505.75x = 223,840.13 × 223,840.13
  4. Step 4: Simplify right side
    149,505.75x = 50,104,401,560.02
  5. Step 5: Solve for x
    x = 50,104,401,560.02/149,505.75
  6. Step 6: Final answer
    x = 335,133.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.