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Finding the Third Proportional to 126,358.73 and 274,859.58

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Solution

The third proportional to 126,358.73 and 274,859.58 is: 597,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,358.73 : 274,859.58 = 274,859.58 : x
  2. Step 2: Convert to fraction form
    126,358.73/274,859.58 = 274,859.58/x
  3. Step 3: Cross multiply
    126,358.73x = 274,859.58 × 274,859.58
  4. Step 4: Simplify right side
    126,358.73x = 75,547,787,687.05
  5. Step 5: Solve for x
    x = 75,547,787,687.05/126,358.73
  6. Step 6: Final answer
    x = 597,883.38

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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.