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Finding the Third Proportional to 118,286 and 255,334

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Solution

The third proportional to 118,286 and 255,334 is: 551,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,286 : 255,334 = 255,334 : x
  2. Step 2: Convert to fraction form
    118,286/255,334 = 255,334/x
  3. Step 3: Cross multiply
    118,286x = 255,334 × 255,334
  4. Step 4: Simplify right side
    118,286x = 65,195,451,556
  5. Step 5: Solve for x
    x = 65,195,451,556/118,286
  6. Step 6: Final answer
    x = 551,167.95

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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.