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Finding the Third Proportional to 241,344 and 361,549

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Solution

The third proportional to 241,344 and 361,549 is: 541,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,344 : 361,549 = 361,549 : x
  2. Step 2: Convert to fraction form
    241,344/361,549 = 361,549/x
  3. Step 3: Cross multiply
    241,344x = 361,549 × 361,549
  4. Step 4: Simplify right side
    241,344x = 130,717,679,401
  5. Step 5: Solve for x
    x = 130,717,679,401/241,344
  6. Step 6: Final answer
    x = 541,623.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.