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Finding the Third Proportional to 221,683.50 and 324,660.75

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Solution

The third proportional to 221,683.50 and 324,660.75 is: 475,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,683.50 : 324,660.75 = 324,660.75 : x
  2. Step 2: Convert to fraction form
    221,683.50/324,660.75 = 324,660.75/x
  3. Step 3: Cross multiply
    221,683.50x = 324,660.75 × 324,660.75
  4. Step 4: Simplify right side
    221,683.50x = 105,404,602,590.56
  5. Step 5: Solve for x
    x = 105,404,602,590.56/221,683.50
  6. Step 6: Final answer
    x = 475,473.38

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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.