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Finding the Third Proportional to 286,163.75 and 388,648.75

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Solution

The third proportional to 286,163.75 and 388,648.75 is: 527,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,163.75 : 388,648.75 = 388,648.75 : x
  2. Step 2: Convert to fraction form
    286,163.75/388,648.75 = 388,648.75/x
  3. Step 3: Cross multiply
    286,163.75x = 388,648.75 × 388,648.75
  4. Step 4: Simplify right side
    286,163.75x = 151,047,850,876.56
  5. Step 5: Solve for x
    x = 151,047,850,876.56/286,163.75
  6. Step 6: Final answer
    x = 527,837.12

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.