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Finding the Third Proportional to 126,208.13 and 276,174.56

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Solution

The third proportional to 126,208.13 and 276,174.56 is: 604,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,208.13 : 276,174.56 = 276,174.56 : x
  2. Step 2: Convert to fraction form
    126,208.13/276,174.56 = 276,174.56/x
  3. Step 3: Cross multiply
    126,208.13x = 276,174.56 × 276,174.56
  4. Step 4: Simplify right side
    126,208.13x = 76,272,388,972.07
  5. Step 5: Solve for x
    x = 76,272,388,972.07/126,208.13
  6. Step 6: Final answer
    x = 604,338.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.