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Finding the Third Proportional to 117,882 and 254,589

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Solution

The third proportional to 117,882 and 254,589 is: 549,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,882 : 254,589 = 254,589 : x
  2. Step 2: Convert to fraction form
    117,882/254,589 = 254,589/x
  3. Step 3: Cross multiply
    117,882x = 254,589 × 254,589
  4. Step 4: Simplify right side
    117,882x = 64,815,558,921
  5. Step 5: Solve for x
    x = 64,815,558,921/117,882
  6. Step 6: Final answer
    x = 549,834.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.