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Finding the Third Proportional to 251,039.25 and 551,895

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Solution

The third proportional to 251,039.25 and 551,895 is: 1,213,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,039.25 : 551,895 = 551,895 : x
  2. Step 2: Convert to fraction form
    251,039.25/551,895 = 551,895/x
  3. Step 3: Cross multiply
    251,039.25x = 551,895 × 551,895
  4. Step 4: Simplify right side
    251,039.25x = 304,588,091,025
  5. Step 5: Solve for x
    x = 304,588,091,025/251,039.25
  6. Step 6: Final answer
    x = 1,213,308.64

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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.