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Finding the Third Proportional to 149,882.06 and 321,131.25

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Solution

The third proportional to 149,882.06 and 321,131.25 is: 688,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,882.06 : 321,131.25 = 321,131.25 : x
  2. Step 2: Convert to fraction form
    149,882.06/321,131.25 = 321,131.25/x
  3. Step 3: Cross multiply
    149,882.06x = 321,131.25 × 321,131.25
  4. Step 4: Simplify right side
    149,882.06x = 103,125,279,726.56
  5. Step 5: Solve for x
    x = 103,125,279,726.56/149,882.06
  6. Step 6: Final answer
    x = 688,042.84

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