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Finding the Third Proportional to 225,768.38 and 349,769.81

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Solution

The third proportional to 225,768.38 and 349,769.81 is: 541,878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,768.38 : 349,769.81 = 349,769.81 : x
  2. Step 2: Convert to fraction form
    225,768.38/349,769.81 = 349,769.81/x
  3. Step 3: Cross multiply
    225,768.38x = 349,769.81 × 349,769.81
  4. Step 4: Simplify right side
    225,768.38x = 122,338,921,736.29
  5. Step 5: Solve for x
    x = 122,338,921,736.29/225,768.38
  6. Step 6: Final answer
    x = 541,878.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.