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Finding the Third Proportional to 193,183.88 and 284,188.13

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Solution

The third proportional to 193,183.88 and 284,188.13 is: 418,062.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,183.88 : 284,188.13 = 284,188.13 : x
  2. Step 2: Convert to fraction form
    193,183.88/284,188.13 = 284,188.13/x
  3. Step 3: Cross multiply
    193,183.88x = 284,188.13 × 284,188.13
  4. Step 4: Simplify right side
    193,183.88x = 80,762,890,391.02
  5. Step 5: Solve for x
    x = 80,762,890,391.02/193,183.88
  6. Step 6: Final answer
    x = 418,062.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.