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Finding the Third Proportional to 92,830 and 197,324

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Solution

The third proportional to 92,830 and 197,324 is: 419,441.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,830 : 197,324 = 197,324 : x
  2. Step 2: Convert to fraction form
    92,830/197,324 = 197,324/x
  3. Step 3: Cross multiply
    92,830x = 197,324 × 197,324
  4. Step 4: Simplify right side
    92,830x = 38,936,760,976
  5. Step 5: Solve for x
    x = 38,936,760,976/92,830
  6. Step 6: Final answer
    x = 419,441.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.