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Finding the Third Proportional to 162,891 and 353,826

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Solution

The third proportional to 162,891 and 353,826 is: 768,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,891 : 353,826 = 353,826 : x
  2. Step 2: Convert to fraction form
    162,891/353,826 = 353,826/x
  3. Step 3: Cross multiply
    162,891x = 353,826 × 353,826
  4. Step 4: Simplify right side
    162,891x = 125,192,838,276
  5. Step 5: Solve for x
    x = 125,192,838,276/162,891
  6. Step 6: Final answer
    x = 768,568.17

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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.