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Finding the Third Proportional to 217,215.56 and 336,331.69

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Solution

The third proportional to 217,215.56 and 336,331.69 is: 520,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,215.56 : 336,331.69 = 336,331.69 : x
  2. Step 2: Convert to fraction form
    217,215.56/336,331.69 = 336,331.69/x
  3. Step 3: Cross multiply
    217,215.56x = 336,331.69 × 336,331.69
  4. Step 4: Simplify right side
    217,215.56x = 113,119,004,016.60
  5. Step 5: Solve for x
    x = 113,119,004,016.60/217,215.56
  6. Step 6: Final answer
    x = 520,768.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.