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Finding the Third Proportional to 106,067 and 228,730

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Solution

The third proportional to 106,067 and 228,730 is: 493,248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,067 : 228,730 = 228,730 : x
  2. Step 2: Convert to fraction form
    106,067/228,730 = 228,730/x
  3. Step 3: Cross multiply
    106,067x = 228,730 × 228,730
  4. Step 4: Simplify right side
    106,067x = 52,317,412,900
  5. Step 5: Solve for x
    x = 52,317,412,900/106,067
  6. Step 6: Final answer
    x = 493,248.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.