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Finding the Third Proportional to 150,363 and 324,231

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Solution

The third proportional to 150,363 and 324,231 is: 699,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,363 : 324,231 = 324,231 : x
  2. Step 2: Convert to fraction form
    150,363/324,231 = 324,231/x
  3. Step 3: Cross multiply
    150,363x = 324,231 × 324,231
  4. Step 4: Simplify right side
    150,363x = 105,125,741,361
  5. Step 5: Solve for x
    x = 105,125,741,361/150,363
  6. Step 6: Final answer
    x = 699,146.34

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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.