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Finding the Third Proportional to 117,729 and 251,616.75

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Solution

The third proportional to 117,729 and 251,616.75 is: 537,768.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,729 : 251,616.75 = 251,616.75 : x
  2. Step 2: Convert to fraction form
    117,729/251,616.75 = 251,616.75/x
  3. Step 3: Cross multiply
    117,729x = 251,616.75 × 251,616.75
  4. Step 4: Simplify right side
    117,729x = 63,310,988,880.56
  5. Step 5: Solve for x
    x = 63,310,988,880.56/117,729
  6. Step 6: Final answer
    x = 537,768.85

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Why These Related Problems?

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