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Finding the Third Proportional to 130,168 and 284,204

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Solution

The third proportional to 130,168 and 284,204 is: 620,520.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,168 : 284,204 = 284,204 : x
  2. Step 2: Convert to fraction form
    130,168/284,204 = 284,204/x
  3. Step 3: Cross multiply
    130,168x = 284,204 × 284,204
  4. Step 4: Simplify right side
    130,168x = 80,771,913,616
  5. Step 5: Solve for x
    x = 80,771,913,616/130,168
  6. Step 6: Final answer
    x = 620,520.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.