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Finding the Third Proportional to 150,332 and 324,168

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Solution

The third proportional to 150,332 and 324,168 is: 699,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,332 : 324,168 = 324,168 : x
  2. Step 2: Convert to fraction form
    150,332/324,168 = 324,168/x
  3. Step 3: Cross multiply
    150,332x = 324,168 × 324,168
  4. Step 4: Simplify right side
    150,332x = 105,084,892,224
  5. Step 5: Solve for x
    x = 105,084,892,224/150,332
  6. Step 6: Final answer
    x = 699,018.79

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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.