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Finding the Third Proportional to 237,203 and 518,182

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Solution

The third proportional to 237,203 and 518,182 is: 1,131,994.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,203 : 518,182 = 518,182 : x
  2. Step 2: Convert to fraction form
    237,203/518,182 = 518,182/x
  3. Step 3: Cross multiply
    237,203x = 518,182 × 518,182
  4. Step 4: Simplify right side
    237,203x = 268,512,585,124
  5. Step 5: Solve for x
    x = 268,512,585,124/237,203
  6. Step 6: Final answer
    x = 1,131,994.90

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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.