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Finding the Third Proportional to 126,356.20 and 274,851.51

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Solution

The third proportional to 126,356.20 and 274,851.51 is: 597,860.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,356.20 : 274,851.51 = 274,851.51 : x
  2. Step 2: Convert to fraction form
    126,356.20/274,851.51 = 274,851.51/x
  3. Step 3: Cross multiply
    126,356.20x = 274,851.51 × 274,851.51
  4. Step 4: Simplify right side
    126,356.20x = 75,543,352,420.44
  5. Step 5: Solve for x
    x = 75,543,352,420.44/126,356.20
  6. Step 6: Final answer
    x = 597,860.26

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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.