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Finding the Third Proportional to 129,288 and 200,898

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Solution

The third proportional to 129,288 and 200,898 is: 312,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,288 : 200,898 = 200,898 : x
  2. Step 2: Convert to fraction form
    129,288/200,898 = 200,898/x
  3. Step 3: Cross multiply
    129,288x = 200,898 × 200,898
  4. Step 4: Simplify right side
    129,288x = 40,360,006,404
  5. Step 5: Solve for x
    x = 40,360,006,404/129,288
  6. Step 6: Final answer
    x = 312,171.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.