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Finding the Third Proportional to 129,701 and 284,006

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Solution

The third proportional to 129,701 and 284,006 is: 621,887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,701 : 284,006 = 284,006 : x
  2. Step 2: Convert to fraction form
    129,701/284,006 = 284,006/x
  3. Step 3: Cross multiply
    129,701x = 284,006 × 284,006
  4. Step 4: Simplify right side
    129,701x = 80,659,408,036
  5. Step 5: Solve for x
    x = 80,659,408,036/129,701
  6. Step 6: Final answer
    x = 621,887.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.