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Finding the Third Proportional to 126,456.75 and 264,597.75

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Solution

The third proportional to 126,456.75 and 264,597.75 is: 553,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,456.75 : 264,597.75 = 264,597.75 : x
  2. Step 2: Convert to fraction form
    126,456.75/264,597.75 = 264,597.75/x
  3. Step 3: Cross multiply
    126,456.75x = 264,597.75 × 264,597.75
  4. Step 4: Simplify right side
    126,456.75x = 70,011,969,305.06
  5. Step 5: Solve for x
    x = 70,011,969,305.06/126,456.75
  6. Step 6: Final answer
    x = 553,643.59

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.