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Finding the Third Proportional to 68,480 and 150,384

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Solution

The third proportional to 68,480 and 150,384 is: 330,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,480 : 150,384 = 150,384 : x
  2. Step 2: Convert to fraction form
    68,480/150,384 = 150,384/x
  3. Step 3: Cross multiply
    68,480x = 150,384 × 150,384
  4. Step 4: Simplify right side
    68,480x = 22,615,347,456
  5. Step 5: Solve for x
    x = 22,615,347,456/68,480
  6. Step 6: Final answer
    x = 330,247.48

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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.