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Finding the Third Proportional to 129,320 and 284,128

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Solution

The third proportional to 129,320 and 284,128 is: 624,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,320 : 284,128 = 284,128 : x
  2. Step 2: Convert to fraction form
    129,320/284,128 = 284,128/x
  3. Step 3: Cross multiply
    129,320x = 284,128 × 284,128
  4. Step 4: Simplify right side
    129,320x = 80,728,720,384
  5. Step 5: Solve for x
    x = 80,728,720,384/129,320
  6. Step 6: Final answer
    x = 624,255.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.