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Finding the Third Proportional to 132,824 and 197,350

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Solution

The third proportional to 132,824 and 197,350 is: 293,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,824 : 197,350 = 197,350 : x
  2. Step 2: Convert to fraction form
    132,824/197,350 = 197,350/x
  3. Step 3: Cross multiply
    132,824x = 197,350 × 197,350
  4. Step 4: Simplify right side
    132,824x = 38,947,022,500
  5. Step 5: Solve for x
    x = 38,947,022,500/132,824
  6. Step 6: Final answer
    x = 293,222.78

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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.