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Finding the Third Proportional to 217,677.38 and 336,353.06

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Solution

The third proportional to 217,677.38 and 336,353.06 is: 519,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,677.38 : 336,353.06 = 336,353.06 : x
  2. Step 2: Convert to fraction form
    217,677.38/336,353.06 = 336,353.06/x
  3. Step 3: Cross multiply
    217,677.38x = 336,353.06 × 336,353.06
  4. Step 4: Simplify right side
    217,677.38x = 113,133,382,653.13
  5. Step 5: Solve for x
    x = 113,133,382,653.13/217,677.38
  6. Step 6: Final answer
    x = 519,729.63

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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.