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Finding the Third Proportional to 132,397.75 and 196,024.75

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Solution

The third proportional to 132,397.75 and 196,024.75 is: 290,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,397.75 : 196,024.75 = 196,024.75 : x
  2. Step 2: Convert to fraction form
    132,397.75/196,024.75 = 196,024.75/x
  3. Step 3: Cross multiply
    132,397.75x = 196,024.75 × 196,024.75
  4. Step 4: Simplify right side
    132,397.75x = 38,425,702,612.56
  5. Step 5: Solve for x
    x = 38,425,702,612.56/132,397.75
  6. Step 6: Final answer
    x = 290,229.27

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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.