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Finding the Third Proportional to 150,667.50 and 221,080.50

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Solution

The third proportional to 150,667.50 and 221,080.50 is: 324,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,667.50 : 221,080.50 = 221,080.50 : x
  2. Step 2: Convert to fraction form
    150,667.50/221,080.50 = 221,080.50/x
  3. Step 3: Cross multiply
    150,667.50x = 221,080.50 × 221,080.50
  4. Step 4: Simplify right side
    150,667.50x = 48,876,587,480.25
  5. Step 5: Solve for x
    x = 48,876,587,480.25/150,667.50
  6. Step 6: Final answer
    x = 324,400.34

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