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Finding the Third Proportional to 132,862 and 200,400

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Solution

The third proportional to 132,862 and 200,400 is: 302,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,862 : 200,400 = 200,400 : x
  2. Step 2: Convert to fraction form
    132,862/200,400 = 200,400/x
  3. Step 3: Cross multiply
    132,862x = 200,400 × 200,400
  4. Step 4: Simplify right side
    132,862x = 40,160,160,000
  5. Step 5: Solve for x
    x = 40,160,160,000/132,862
  6. Step 6: Final answer
    x = 302,269.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.