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Finding the Third Proportional to 150,624 and 321,264

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Solution

The third proportional to 150,624 and 321,264 is: 685,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,624 : 321,264 = 321,264 : x
  2. Step 2: Convert to fraction form
    150,624/321,264 = 321,264/x
  3. Step 3: Cross multiply
    150,624x = 321,264 × 321,264
  4. Step 4: Simplify right side
    150,624x = 103,210,557,696
  5. Step 5: Solve for x
    x = 103,210,557,696/150,624
  6. Step 6: Final answer
    x = 685,219.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.