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Finding the Third Proportional to 193,790 and 411,034

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Solution

The third proportional to 193,790 and 411,034 is: 871,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,790 : 411,034 = 411,034 : x
  2. Step 2: Convert to fraction form
    193,790/411,034 = 411,034/x
  3. Step 3: Cross multiply
    193,790x = 411,034 × 411,034
  4. Step 4: Simplify right side
    193,790x = 168,948,949,156
  5. Step 5: Solve for x
    x = 168,948,949,156/193,790
  6. Step 6: Final answer
    x = 871,814.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.