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Finding the Third Proportional to 252,768.94 and 550,173.94

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Solution

The third proportional to 252,768.94 and 550,173.94 is: 1,197,502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,768.94 : 550,173.94 = 550,173.94 : x
  2. Step 2: Convert to fraction form
    252,768.94/550,173.94 = 550,173.94/x
  3. Step 3: Cross multiply
    252,768.94x = 550,173.94 × 550,173.94
  4. Step 4: Simplify right side
    252,768.94x = 302,691,361,504.25
  5. Step 5: Solve for x
    x = 302,691,361,504.25/252,768.94
  6. Step 6: Final answer
    x = 1,197,502.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.