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Finding the Third Proportional to 171,693.84 and 372,934.13

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Solution

The third proportional to 171,693.84 and 372,934.13 is: 810,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,693.84 : 372,934.13 = 372,934.13 : x
  2. Step 2: Convert to fraction form
    171,693.84/372,934.13 = 372,934.13/x
  3. Step 3: Cross multiply
    171,693.84x = 372,934.13 × 372,934.13
  4. Step 4: Simplify right side
    171,693.84x = 139,079,861,589.52
  5. Step 5: Solve for x
    x = 139,079,861,589.52/171,693.84
  6. Step 6: Final answer
    x = 810,045.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.