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Finding the Third Proportional to 117,048 and 251,860

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Solution

The third proportional to 117,048 and 251,860 is: 541,943.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,048 : 251,860 = 251,860 : x
  2. Step 2: Convert to fraction form
    117,048/251,860 = 251,860/x
  3. Step 3: Cross multiply
    117,048x = 251,860 × 251,860
  4. Step 4: Simplify right side
    117,048x = 63,433,459,600
  5. Step 5: Solve for x
    x = 63,433,459,600/117,048
  6. Step 6: Final answer
    x = 541,943.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.