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Finding the Third Proportional to 149,398 and 321,452

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Solution

The third proportional to 149,398 and 321,452 is: 691,651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,398 : 321,452 = 321,452 : x
  2. Step 2: Convert to fraction form
    149,398/321,452 = 321,452/x
  3. Step 3: Cross multiply
    149,398x = 321,452 × 321,452
  4. Step 4: Simplify right side
    149,398x = 103,331,388,304
  5. Step 5: Solve for x
    x = 103,331,388,304/149,398
  6. Step 6: Final answer
    x = 691,651.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.