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Finding the Third Proportional to 237,187 and 518,150

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Solution

The third proportional to 237,187 and 518,150 is: 1,131,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,187 : 518,150 = 518,150 : x
  2. Step 2: Convert to fraction form
    237,187/518,150 = 518,150/x
  3. Step 3: Cross multiply
    237,187x = 518,150 × 518,150
  4. Step 4: Simplify right side
    237,187x = 268,479,422,500
  5. Step 5: Solve for x
    x = 268,479,422,500/237,187
  6. Step 6: Final answer
    x = 1,131,931.44

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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.