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Finding the Third Proportional to 193,230 and 284,249.25

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Solution

The third proportional to 193,230 and 284,249.25 is: 418,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,230 : 284,249.25 = 284,249.25 : x
  2. Step 2: Convert to fraction form
    193,230/284,249.25 = 284,249.25/x
  3. Step 3: Cross multiply
    193,230x = 284,249.25 × 284,249.25
  4. Step 4: Simplify right side
    193,230x = 80,797,636,125.56
  5. Step 5: Solve for x
    x = 80,797,636,125.56/193,230
  6. Step 6: Final answer
    x = 418,142.30

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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.