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Finding the Third Proportional to 251,010.50 and 551,843

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Solution

The third proportional to 251,010.50 and 551,843 is: 1,213,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,010.50 : 551,843 = 551,843 : x
  2. Step 2: Convert to fraction form
    251,010.50/551,843 = 551,843/x
  3. Step 3: Cross multiply
    251,010.50x = 551,843 × 551,843
  4. Step 4: Simplify right side
    251,010.50x = 304,530,696,649
  5. Step 5: Solve for x
    x = 304,530,696,649/251,010.50
  6. Step 6: Final answer
    x = 1,213,218.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.