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Finding the Third Proportional to 132,828 and 197,361

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Solution

The third proportional to 132,828 and 197,361 is: 293,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,828 : 197,361 = 197,361 : x
  2. Step 2: Convert to fraction form
    132,828/197,361 = 197,361/x
  3. Step 3: Cross multiply
    132,828x = 197,361 × 197,361
  4. Step 4: Simplify right side
    132,828x = 38,951,364,321
  5. Step 5: Solve for x
    x = 38,951,364,321/132,828
  6. Step 6: Final answer
    x = 293,246.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.