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Finding the Third Proportional to 225,828 and 330,261.50

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Solution

The third proportional to 225,828 and 330,261.50 is: 482,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,828 : 330,261.50 = 330,261.50 : x
  2. Step 2: Convert to fraction form
    225,828/330,261.50 = 330,261.50/x
  3. Step 3: Cross multiply
    225,828x = 330,261.50 × 330,261.50
  4. Step 4: Simplify right side
    225,828x = 109,072,658,382.25
  5. Step 5: Solve for x
    x = 109,072,658,382.25/225,828
  6. Step 6: Final answer
    x = 482,989.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.