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Finding the Third Proportional to 150,122 and 321,220

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Solution

The third proportional to 150,122 and 321,220 is: 687,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,122 : 321,220 = 321,220 : x
  2. Step 2: Convert to fraction form
    150,122/321,220 = 321,220/x
  3. Step 3: Cross multiply
    150,122x = 321,220 × 321,220
  4. Step 4: Simplify right side
    150,122x = 103,182,288,400
  5. Step 5: Solve for x
    x = 103,182,288,400/150,122
  6. Step 6: Final answer
    x = 687,322.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.