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Finding the Third Proportional to 118,192 and 255,329

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Solution

The third proportional to 118,192 and 255,329 is: 551,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,192 : 255,329 = 255,329 : x
  2. Step 2: Convert to fraction form
    118,192/255,329 = 255,329/x
  3. Step 3: Cross multiply
    118,192x = 255,329 × 255,329
  4. Step 4: Simplify right side
    118,192x = 65,192,898,241
  5. Step 5: Solve for x
    x = 65,192,898,241/118,192
  6. Step 6: Final answer
    x = 551,584.69

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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.