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Finding the Third Proportional to 117,794 and 255,388

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Solution

The third proportional to 117,794 and 255,388 is: 553,704.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,794 : 255,388 = 255,388 : x
  2. Step 2: Convert to fraction form
    117,794/255,388 = 255,388/x
  3. Step 3: Cross multiply
    117,794x = 255,388 × 255,388
  4. Step 4: Simplify right side
    117,794x = 65,223,030,544
  5. Step 5: Solve for x
    x = 65,223,030,544/117,794
  6. Step 6: Final answer
    x = 553,704.18

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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.