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Finding the Third Proportional to 225,786 and 349,794.75

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Solution

The third proportional to 225,786 and 349,794.75 is: 541,912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,786 : 349,794.75 = 349,794.75 : x
  2. Step 2: Convert to fraction form
    225,786/349,794.75 = 349,794.75/x
  3. Step 3: Cross multiply
    225,786x = 349,794.75 × 349,794.75
  4. Step 4: Simplify right side
    225,786x = 122,356,367,127.56
  5. Step 5: Solve for x
    x = 122,356,367,127.56/225,786
  6. Step 6: Final answer
    x = 541,912.99

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