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Finding the Third Proportional to 193,766 and 282,992

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Solution

The third proportional to 193,766 and 282,992 is: 413,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,766 : 282,992 = 282,992 : x
  2. Step 2: Convert to fraction form
    193,766/282,992 = 282,992/x
  3. Step 3: Cross multiply
    193,766x = 282,992 × 282,992
  4. Step 4: Simplify right side
    193,766x = 80,084,472,064
  5. Step 5: Solve for x
    x = 80,084,472,064/193,766
  6. Step 6: Final answer
    x = 413,305.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.