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Finding the Third Proportional to 150,612 and 321,240

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Solution

The third proportional to 150,612 and 321,240 is: 685,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,612 : 321,240 = 321,240 : x
  2. Step 2: Convert to fraction form
    150,612/321,240 = 321,240/x
  3. Step 3: Cross multiply
    150,612x = 321,240 × 321,240
  4. Step 4: Simplify right side
    150,612x = 103,195,137,600
  5. Step 5: Solve for x
    x = 103,195,137,600/150,612
  6. Step 6: Final answer
    x = 685,172.08

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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.