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Finding the Third Proportional to 87,423 and 190,414

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Solution

The third proportional to 87,423 and 190,414 is: 414,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,423 : 190,414 = 190,414 : x
  2. Step 2: Convert to fraction form
    87,423/190,414 = 190,414/x
  3. Step 3: Cross multiply
    87,423x = 190,414 × 190,414
  4. Step 4: Simplify right side
    87,423x = 36,257,491,396
  5. Step 5: Solve for x
    x = 36,257,491,396/87,423
  6. Step 6: Final answer
    x = 414,736.30

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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.