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Finding the Third Proportional to 141,266 and 200,829

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Solution

The third proportional to 141,266 and 200,829 is: 285,505.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,266 : 200,829 = 200,829 : x
  2. Step 2: Convert to fraction form
    141,266/200,829 = 200,829/x
  3. Step 3: Cross multiply
    141,266x = 200,829 × 200,829
  4. Step 4: Simplify right side
    141,266x = 40,332,287,241
  5. Step 5: Solve for x
    x = 40,332,287,241/141,266
  6. Step 6: Final answer
    x = 285,505.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.