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Finding the Third Proportional to 286,863.75 and 388,170.75

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Solution

The third proportional to 286,863.75 and 388,170.75 is: 525,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,863.75 : 388,170.75 = 388,170.75 : x
  2. Step 2: Convert to fraction form
    286,863.75/388,170.75 = 388,170.75/x
  3. Step 3: Cross multiply
    286,863.75x = 388,170.75 × 388,170.75
  4. Step 4: Simplify right side
    286,863.75x = 150,676,531,155.56
  5. Step 5: Solve for x
    x = 150,676,531,155.56/286,863.75
  6. Step 6: Final answer
    x = 525,254.69

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.