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Finding the Third Proportional to 217,224 and 303,466.50

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Solution

The third proportional to 217,224 and 303,466.50 is: 423,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,224 : 303,466.50 = 303,466.50 : x
  2. Step 2: Convert to fraction form
    217,224/303,466.50 = 303,466.50/x
  3. Step 3: Cross multiply
    217,224x = 303,466.50 × 303,466.50
  4. Step 4: Simplify right side
    217,224x = 92,091,916,622.25
  5. Step 5: Solve for x
    x = 92,091,916,622.25/217,224
  6. Step 6: Final answer
    x = 423,949.09

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.