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Finding the Third Proportional to 150,650 and 327,220

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Solution

The third proportional to 150,650 and 327,220 is: 710,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,650 : 327,220 = 327,220 : x
  2. Step 2: Convert to fraction form
    150,650/327,220 = 327,220/x
  3. Step 3: Cross multiply
    150,650x = 327,220 × 327,220
  4. Step 4: Simplify right side
    150,650x = 107,072,928,400
  5. Step 5: Solve for x
    x = 107,072,928,400/150,650
  6. Step 6: Final answer
    x = 710,739.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.