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Finding the Third Proportional to 205,728 and 313,326

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Solution

The third proportional to 205,728 and 313,326 is: 477,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,728 : 313,326 = 313,326 : x
  2. Step 2: Convert to fraction form
    205,728/313,326 = 313,326/x
  3. Step 3: Cross multiply
    205,728x = 313,326 × 313,326
  4. Step 4: Simplify right side
    205,728x = 98,173,182,276
  5. Step 5: Solve for x
    x = 98,173,182,276/205,728
  6. Step 6: Final answer
    x = 477,198.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.