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Finding the Third Proportional to 200,508 and 282,110.63

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Solution

The third proportional to 200,508 and 282,110.63 is: 396,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,508 : 282,110.63 = 282,110.63 : x
  2. Step 2: Convert to fraction form
    200,508/282,110.63 = 282,110.63/x
  3. Step 3: Cross multiply
    200,508x = 282,110.63 × 282,110.63
  4. Step 4: Simplify right side
    200,508x = 79,586,404,737.89
  5. Step 5: Solve for x
    x = 79,586,404,737.89/200,508
  6. Step 6: Final answer
    x = 396,923.84

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.