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Finding the Third Proportional to 106,876.50 and 228,687

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Solution

The third proportional to 106,876.50 and 228,687 is: 489,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,876.50 : 228,687 = 228,687 : x
  2. Step 2: Convert to fraction form
    106,876.50/228,687 = 228,687/x
  3. Step 3: Cross multiply
    106,876.50x = 228,687 × 228,687
  4. Step 4: Simplify right side
    106,876.50x = 52,297,743,969
  5. Step 5: Solve for x
    x = 52,297,743,969/106,876.50
  6. Step 6: Final answer
    x = 489,328.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.