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Finding the Third Proportional to 114,999 and 251,868

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Solution

The third proportional to 114,999 and 251,868 is: 551,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,999 : 251,868 = 251,868 : x
  2. Step 2: Convert to fraction form
    114,999/251,868 = 251,868/x
  3. Step 3: Cross multiply
    114,999x = 251,868 × 251,868
  4. Step 4: Simplify right side
    114,999x = 63,437,489,424
  5. Step 5: Solve for x
    x = 63,437,489,424/114,999
  6. Step 6: Final answer
    x = 551,635.14

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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.