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Finding the Third Proportional to 114,118 and 251,563

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Solution

The third proportional to 114,118 and 251,563 is: 554,548.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,118 : 251,563 = 251,563 : x
  2. Step 2: Convert to fraction form
    114,118/251,563 = 251,563/x
  3. Step 3: Cross multiply
    114,118x = 251,563 × 251,563
  4. Step 4: Simplify right side
    114,118x = 63,283,942,969
  5. Step 5: Solve for x
    x = 63,283,942,969/114,118
  6. Step 6: Final answer
    x = 554,548.30

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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.