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Finding the Third Proportional to 132,320 and 197,112

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Solution

The third proportional to 132,320 and 197,112 is: 293,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,320 : 197,112 = 197,112 : x
  2. Step 2: Convert to fraction form
    132,320/197,112 = 197,112/x
  3. Step 3: Cross multiply
    132,320x = 197,112 × 197,112
  4. Step 4: Simplify right side
    132,320x = 38,853,140,544
  5. Step 5: Solve for x
    x = 38,853,140,544/132,320
  6. Step 6: Final answer
    x = 293,630.14

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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.