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Finding the Third Proportional to 150,540.75 and 221,652.75

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Solution

The third proportional to 150,540.75 and 221,652.75 is: 326,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,540.75 : 221,652.75 = 221,652.75 : x
  2. Step 2: Convert to fraction form
    150,540.75/221,652.75 = 221,652.75/x
  3. Step 3: Cross multiply
    150,540.75x = 221,652.75 × 221,652.75
  4. Step 4: Simplify right side
    150,540.75x = 49,129,941,582.56
  5. Step 5: Solve for x
    x = 49,129,941,582.56/150,540.75
  6. Step 6: Final answer
    x = 326,356.43

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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.