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Finding the Third Proportional to 165,311.50 and 247,326

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Solution

The third proportional to 165,311.50 and 247,326 is: 370,029.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,311.50 : 247,326 = 247,326 : x
  2. Step 2: Convert to fraction form
    165,311.50/247,326 = 247,326/x
  3. Step 3: Cross multiply
    165,311.50x = 247,326 × 247,326
  4. Step 4: Simplify right side
    165,311.50x = 61,170,150,276
  5. Step 5: Solve for x
    x = 61,170,150,276/165,311.50
  6. Step 6: Final answer
    x = 370,029.61

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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.