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Finding the Third Proportional to 130,166 and 284,200

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Solution

The third proportional to 130,166 and 284,200 is: 620,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,166 : 284,200 = 284,200 : x
  2. Step 2: Convert to fraction form
    130,166/284,200 = 284,200/x
  3. Step 3: Cross multiply
    130,166x = 284,200 × 284,200
  4. Step 4: Simplify right side
    130,166x = 80,769,640,000
  5. Step 5: Solve for x
    x = 80,769,640,000/130,166
  6. Step 6: Final answer
    x = 620,512.58

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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.