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Finding the Third Proportional to 150,552 and 327,104

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Solution

The third proportional to 150,552 and 327,104 is: 710,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,552 : 327,104 = 327,104 : x
  2. Step 2: Convert to fraction form
    150,552/327,104 = 327,104/x
  3. Step 3: Cross multiply
    150,552x = 327,104 × 327,104
  4. Step 4: Simplify right side
    150,552x = 106,997,026,816
  5. Step 5: Solve for x
    x = 106,997,026,816/150,552
  6. Step 6: Final answer
    x = 710,698.14

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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.