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Finding the Third Proportional to 237,195 and 518,166

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Solution

The third proportional to 237,195 and 518,166 is: 1,131,963.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,195 : 518,166 = 518,166 : x
  2. Step 2: Convert to fraction form
    237,195/518,166 = 518,166/x
  3. Step 3: Cross multiply
    237,195x = 518,166 × 518,166
  4. Step 4: Simplify right side
    237,195x = 268,496,003,556
  5. Step 5: Solve for x
    x = 268,496,003,556/237,195
  6. Step 6: Final answer
    x = 1,131,963.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.