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Finding the Third Proportional to 121,588.88 and 194,241

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Solution

The third proportional to 121,588.88 and 194,241 is: 310,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,588.88 : 194,241 = 194,241 : x
  2. Step 2: Convert to fraction form
    121,588.88/194,241 = 194,241/x
  3. Step 3: Cross multiply
    121,588.88x = 194,241 × 194,241
  4. Step 4: Simplify right side
    121,588.88x = 37,729,566,081
  5. Step 5: Solve for x
    x = 37,729,566,081/121,588.88
  6. Step 6: Final answer
    x = 310,304.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.