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Finding the Third Proportional to 126,328 and 271,772

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Solution

The third proportional to 126,328 and 271,772 is: 584,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,328 : 271,772 = 271,772 : x
  2. Step 2: Convert to fraction form
    126,328/271,772 = 271,772/x
  3. Step 3: Cross multiply
    126,328x = 271,772 × 271,772
  4. Step 4: Simplify right side
    126,328x = 73,860,019,984
  5. Step 5: Solve for x
    x = 73,860,019,984/126,328
  6. Step 6: Final answer
    x = 584,668.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.