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Finding the Third Proportional to 131,745 and 197,257

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Solution

The third proportional to 131,745 and 197,257 is: 295,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,745 : 197,257 = 197,257 : x
  2. Step 2: Convert to fraction form
    131,745/197,257 = 197,257/x
  3. Step 3: Cross multiply
    131,745x = 197,257 × 197,257
  4. Step 4: Simplify right side
    131,745x = 38,910,324,049
  5. Step 5: Solve for x
    x = 38,910,324,049/131,745
  6. Step 6: Final answer
    x = 295,345.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.