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Finding the Third Proportional to 150,604 and 324,535

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Solution

The third proportional to 150,604 and 324,535 is: 699,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,604 : 324,535 = 324,535 : x
  2. Step 2: Convert to fraction form
    150,604/324,535 = 324,535/x
  3. Step 3: Cross multiply
    150,604x = 324,535 × 324,535
  4. Step 4: Simplify right side
    150,604x = 105,322,966,225
  5. Step 5: Solve for x
    x = 105,322,966,225/150,604
  6. Step 6: Final answer
    x = 699,337.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.