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Finding the Third Proportional to 132,852 and 197,396

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Solution

The third proportional to 132,852 and 197,396 is: 293,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,852 : 197,396 = 197,396 : x
  2. Step 2: Convert to fraction form
    132,852/197,396 = 197,396/x
  3. Step 3: Cross multiply
    132,852x = 197,396 × 197,396
  4. Step 4: Simplify right side
    132,852x = 38,965,180,816
  5. Step 5: Solve for x
    x = 38,965,180,816/132,852
  6. Step 6: Final answer
    x = 293,297.66

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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.