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Finding the Third Proportional to 193,796 and 411,048

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Solution

The third proportional to 193,796 and 411,048 is: 871,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,796 : 411,048 = 411,048 : x
  2. Step 2: Convert to fraction form
    193,796/411,048 = 411,048/x
  3. Step 3: Cross multiply
    193,796x = 411,048 × 411,048
  4. Step 4: Simplify right side
    193,796x = 168,960,458,304
  5. Step 5: Solve for x
    x = 168,960,458,304/193,796
  6. Step 6: Final answer
    x = 871,846.98

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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.