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Finding the Third Proportional to 150,332 and 324,161

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Solution

The third proportional to 150,332 and 324,161 is: 698,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,332 : 324,161 = 324,161 : x
  2. Step 2: Convert to fraction form
    150,332/324,161 = 324,161/x
  3. Step 3: Cross multiply
    150,332x = 324,161 × 324,161
  4. Step 4: Simplify right side
    150,332x = 105,080,353,921
  5. Step 5: Solve for x
    x = 105,080,353,921/150,332
  6. Step 6: Final answer
    x = 698,988.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.