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Finding the Third Proportional to 103,802 and 226,992

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Solution

The third proportional to 103,802 and 226,992 is: 496,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,802 : 226,992 = 226,992 : x
  2. Step 2: Convert to fraction form
    103,802/226,992 = 226,992/x
  3. Step 3: Cross multiply
    103,802x = 226,992 × 226,992
  4. Step 4: Simplify right side
    103,802x = 51,525,368,064
  5. Step 5: Solve for x
    x = 51,525,368,064/103,802
  6. Step 6: Final answer
    x = 496,381.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.