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Finding the Third Proportional to 174,182 and 377,349

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Solution

The third proportional to 174,182 and 377,349 is: 817,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,182 : 377,349 = 377,349 : x
  2. Step 2: Convert to fraction form
    174,182/377,349 = 377,349/x
  3. Step 3: Cross multiply
    174,182x = 377,349 × 377,349
  4. Step 4: Simplify right side
    174,182x = 142,392,267,801
  5. Step 5: Solve for x
    x = 142,392,267,801/174,182
  6. Step 6: Final answer
    x = 817,491.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.