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Finding the Third Proportional to 217,399.50 and 300,397.88

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Solution

The third proportional to 217,399.50 and 300,397.88 is: 415,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,399.50 : 300,397.88 = 300,397.88 : x
  2. Step 2: Convert to fraction form
    217,399.50/300,397.88 = 300,397.88/x
  3. Step 3: Cross multiply
    217,399.50x = 300,397.88 × 300,397.88
  4. Step 4: Simplify right side
    217,399.50x = 90,238,883,304.52
  5. Step 5: Solve for x
    x = 90,238,883,304.52/217,399.50
  6. Step 6: Final answer
    x = 415,083.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.