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Finding the Third Proportional to 188,257.50 and 286,797.75

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Solution

The third proportional to 188,257.50 and 286,797.75 is: 436,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,257.50 : 286,797.75 = 286,797.75 : x
  2. Step 2: Convert to fraction form
    188,257.50/286,797.75 = 286,797.75/x
  3. Step 3: Cross multiply
    188,257.50x = 286,797.75 × 286,797.75
  4. Step 4: Simplify right side
    188,257.50x = 82,252,949,405.06
  5. Step 5: Solve for x
    x = 82,252,949,405.06/188,257.50
  6. Step 6: Final answer
    x = 436,917.25

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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.