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Finding the Third Proportional to 126,338.69 and 276,415.63

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Solution

The third proportional to 126,338.69 and 276,415.63 is: 604,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,338.69 : 276,415.63 = 276,415.63 : x
  2. Step 2: Convert to fraction form
    126,338.69/276,415.63 = 276,415.63/x
  3. Step 3: Cross multiply
    126,338.69x = 276,415.63 × 276,415.63
  4. Step 4: Simplify right side
    126,338.69x = 76,405,597,744.14
  5. Step 5: Solve for x
    x = 76,405,597,744.14/126,338.69
  6. Step 6: Final answer
    x = 604,768.02

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