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Finding the Third Proportional to 236,115 and 337,419

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Solution

The third proportional to 236,115 and 337,419 is: 482,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,115 : 337,419 = 337,419 : x
  2. Step 2: Convert to fraction form
    236,115/337,419 = 337,419/x
  3. Step 3: Cross multiply
    236,115x = 337,419 × 337,419
  4. Step 4: Simplify right side
    236,115x = 113,851,581,561
  5. Step 5: Solve for x
    x = 113,851,581,561/236,115
  6. Step 6: Final answer
    x = 482,186.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.