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Finding the Third Proportional to 173,826 and 363,771

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Solution

The third proportional to 173,826 and 363,771 is: 761,274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,826 : 363,771 = 363,771 : x
  2. Step 2: Convert to fraction form
    173,826/363,771 = 363,771/x
  3. Step 3: Cross multiply
    173,826x = 363,771 × 363,771
  4. Step 4: Simplify right side
    173,826x = 132,329,340,441
  5. Step 5: Solve for x
    x = 132,329,340,441/173,826
  6. Step 6: Final answer
    x = 761,274.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.