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Finding the Third Proportional to 221,950.50 and 314,055

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Solution

The third proportional to 221,950.50 and 314,055 is: 444,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,950.50 : 314,055 = 314,055 : x
  2. Step 2: Convert to fraction form
    221,950.50/314,055 = 314,055/x
  3. Step 3: Cross multiply
    221,950.50x = 314,055 × 314,055
  4. Step 4: Simplify right side
    221,950.50x = 98,630,543,025
  5. Step 5: Solve for x
    x = 98,630,543,025/221,950.50
  6. Step 6: Final answer
    x = 444,380.81

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.