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Finding the Third Proportional to 126,263.25 and 280,553.63

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Solution

The third proportional to 126,263.25 and 280,553.63 is: 623,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,263.25 : 280,553.63 = 280,553.63 : x
  2. Step 2: Convert to fraction form
    126,263.25/280,553.63 = 280,553.63/x
  3. Step 3: Cross multiply
    126,263.25x = 280,553.63 × 280,553.63
  4. Step 4: Simplify right side
    126,263.25x = 78,710,336,500.64
  5. Step 5: Solve for x
    x = 78,710,336,500.64/126,263.25
  6. Step 6: Final answer
    x = 623,382.79

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.