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Finding the Third Proportional to 217,299.38 and 345,767.06

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Solution

The third proportional to 217,299.38 and 345,767.06 is: 550,185.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,299.38 : 345,767.06 = 345,767.06 : x
  2. Step 2: Convert to fraction form
    217,299.38/345,767.06 = 345,767.06/x
  3. Step 3: Cross multiply
    217,299.38x = 345,767.06 × 345,767.06
  4. Step 4: Simplify right side
    217,299.38x = 119,554,861,509.88
  5. Step 5: Solve for x
    x = 119,554,861,509.88/217,299.38
  6. Step 6: Final answer
    x = 550,185.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.