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Finding the Third Proportional to 237,246 and 518,268

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Solution

The third proportional to 237,246 and 518,268 is: 1,132,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,246 : 518,268 = 518,268 : x
  2. Step 2: Convert to fraction form
    237,246/518,268 = 518,268/x
  3. Step 3: Cross multiply
    237,246x = 518,268 × 518,268
  4. Step 4: Simplify right side
    237,246x = 268,601,719,824
  5. Step 5: Solve for x
    x = 268,601,719,824/237,246
  6. Step 6: Final answer
    x = 1,132,165.43

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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.