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Finding the Third Proportional to 132,862 and 197,400

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Solution

The third proportional to 132,862 and 197,400 is: 293,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,862 : 197,400 = 197,400 : x
  2. Step 2: Convert to fraction form
    132,862/197,400 = 197,400/x
  3. Step 3: Cross multiply
    132,862x = 197,400 × 197,400
  4. Step 4: Simplify right side
    132,862x = 38,966,760,000
  5. Step 5: Solve for x
    x = 38,966,760,000/132,862
  6. Step 6: Final answer
    x = 293,287.47

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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.