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Finding the Third Proportional to 237,249 and 518,274

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Solution

The third proportional to 237,249 and 518,274 is: 1,132,177.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,249 : 518,274 = 518,274 : x
  2. Step 2: Convert to fraction form
    237,249/518,274 = 518,274/x
  3. Step 3: Cross multiply
    237,249x = 518,274 × 518,274
  4. Step 4: Simplify right side
    237,249x = 268,607,939,076
  5. Step 5: Solve for x
    x = 268,607,939,076/237,249
  6. Step 6: Final answer
    x = 1,132,177.33

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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.