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Finding the Third Proportional to 155,524 and 327,648

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Solution

The third proportional to 155,524 and 327,648 is: 690,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,524 : 327,648 = 327,648 : x
  2. Step 2: Convert to fraction form
    155,524/327,648 = 327,648/x
  3. Step 3: Cross multiply
    155,524x = 327,648 × 327,648
  4. Step 4: Simplify right side
    155,524x = 107,353,211,904
  5. Step 5: Solve for x
    x = 107,353,211,904/155,524
  6. Step 6: Final answer
    x = 690,267.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.