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Finding the Third Proportional to 193,012 and 298,267

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Solution

The third proportional to 193,012 and 298,267 is: 460,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,012 : 298,267 = 298,267 : x
  2. Step 2: Convert to fraction form
    193,012/298,267 = 298,267/x
  3. Step 3: Cross multiply
    193,012x = 298,267 × 298,267
  4. Step 4: Simplify right side
    193,012x = 88,963,203,289
  5. Step 5: Solve for x
    x = 88,963,203,289/193,012
  6. Step 6: Final answer
    x = 460,920.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.