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Finding the Third Proportional to 126,246.09 and 270,225.49

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Solution

The third proportional to 126,246.09 and 270,225.49 is: 578,408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,246.09 : 270,225.49 = 270,225.49 : x
  2. Step 2: Convert to fraction form
    126,246.09/270,225.49 = 270,225.49/x
  3. Step 3: Cross multiply
    126,246.09x = 270,225.49 × 270,225.49
  4. Step 4: Simplify right side
    126,246.09x = 73,021,816,627.98
  5. Step 5: Solve for x
    x = 73,021,816,627.98/126,246.09
  6. Step 6: Final answer
    x = 578,408.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.