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Finding the Third Proportional to 194,371 and 418,549

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Solution

The third proportional to 194,371 and 418,549 is: 901,282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,371 : 418,549 = 418,549 : x
  2. Step 2: Convert to fraction form
    194,371/418,549 = 418,549/x
  3. Step 3: Cross multiply
    194,371x = 418,549 × 418,549
  4. Step 4: Simplify right side
    194,371x = 175,183,265,401
  5. Step 5: Solve for x
    x = 175,183,265,401/194,371
  6. Step 6: Final answer
    x = 901,282.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.