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Finding the Third Proportional to 165,834 and 248,922

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Solution

The third proportional to 165,834 and 248,922 is: 373,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,834 : 248,922 = 248,922 : x
  2. Step 2: Convert to fraction form
    165,834/248,922 = 248,922/x
  3. Step 3: Cross multiply
    165,834x = 248,922 × 248,922
  4. Step 4: Simplify right side
    165,834x = 61,962,162,084
  5. Step 5: Solve for x
    x = 61,962,162,084/165,834
  6. Step 6: Final answer
    x = 373,639.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.