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Finding the Third Proportional to 149,839.88 and 321,003

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Solution

The third proportional to 149,839.88 and 321,003 is: 687,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,839.88 : 321,003 = 321,003 : x
  2. Step 2: Convert to fraction form
    149,839.88/321,003 = 321,003/x
  3. Step 3: Cross multiply
    149,839.88x = 321,003 × 321,003
  4. Step 4: Simplify right side
    149,839.88x = 103,042,926,009
  5. Step 5: Solve for x
    x = 103,042,926,009/149,839.88
  6. Step 6: Final answer
    x = 687,686.95

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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.