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Finding the Third Proportional to 150,545 and 220,165

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Solution

The third proportional to 150,545 and 220,165 is: 321,980.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,545 : 220,165 = 220,165 : x
  2. Step 2: Convert to fraction form
    150,545/220,165 = 220,165/x
  3. Step 3: Cross multiply
    150,545x = 220,165 × 220,165
  4. Step 4: Simplify right side
    150,545x = 48,472,627,225
  5. Step 5: Solve for x
    x = 48,472,627,225/150,545
  6. Step 6: Final answer
    x = 321,980.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.