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Finding the Third Proportional to 132,401.25 and 196,029.75

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Solution

The third proportional to 132,401.25 and 196,029.75 is: 290,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,401.25 : 196,029.75 = 196,029.75 : x
  2. Step 2: Convert to fraction form
    132,401.25/196,029.75 = 196,029.75/x
  3. Step 3: Cross multiply
    132,401.25x = 196,029.75 × 196,029.75
  4. Step 4: Simplify right side
    132,401.25x = 38,427,662,885.06
  5. Step 5: Solve for x
    x = 38,427,662,885.06/132,401.25
  6. Step 6: Final answer
    x = 290,236.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.