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Finding the Third Proportional to 149,046.75 and 223,003.13

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Solution

The third proportional to 149,046.75 and 223,003.13 is: 333,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,046.75 : 223,003.13 = 223,003.13 : x
  2. Step 2: Convert to fraction form
    149,046.75/223,003.13 = 223,003.13/x
  3. Step 3: Cross multiply
    149,046.75x = 223,003.13 × 223,003.13
  4. Step 4: Simplify right side
    149,046.75x = 49,730,393,759.77
  5. Step 5: Solve for x
    x = 49,730,393,759.77/149,046.75
  6. Step 6: Final answer
    x = 333,656.34

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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.