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Finding the Third Proportional to 117,558 and 254,799

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Solution

The third proportional to 117,558 and 254,799 is: 552,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,558 : 254,799 = 254,799 : x
  2. Step 2: Convert to fraction form
    117,558/254,799 = 254,799/x
  3. Step 3: Cross multiply
    117,558x = 254,799 × 254,799
  4. Step 4: Simplify right side
    117,558x = 64,922,530,401
  5. Step 5: Solve for x
    x = 64,922,530,401/117,558
  6. Step 6: Final answer
    x = 552,259.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.