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Finding the Third Proportional to 221,202.75 and 333,615.75

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Solution

The third proportional to 221,202.75 and 333,615.75 is: 503,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,202.75 : 333,615.75 = 333,615.75 : x
  2. Step 2: Convert to fraction form
    221,202.75/333,615.75 = 333,615.75/x
  3. Step 3: Cross multiply
    221,202.75x = 333,615.75 × 333,615.75
  4. Step 4: Simplify right side
    221,202.75x = 111,299,468,648.06
  5. Step 5: Solve for x
    x = 111,299,468,648.06/221,202.75
  6. Step 6: Final answer
    x = 503,155.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.