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Finding the Third Proportional to 200,799 and 322,845.75

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Solution

The third proportional to 200,799 and 322,845.75 is: 519,073.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,799 : 322,845.75 = 322,845.75 : x
  2. Step 2: Convert to fraction form
    200,799/322,845.75 = 322,845.75/x
  3. Step 3: Cross multiply
    200,799x = 322,845.75 × 322,845.75
  4. Step 4: Simplify right side
    200,799x = 104,229,378,293.06
  5. Step 5: Solve for x
    x = 104,229,378,293.06/200,799
  6. Step 6: Final answer
    x = 519,073.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.