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Finding the Third Proportional to 188,284.50 and 288,438.75

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Solution

The third proportional to 188,284.50 and 288,438.75 is: 441,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,284.50 : 288,438.75 = 288,438.75 : x
  2. Step 2: Convert to fraction form
    188,284.50/288,438.75 = 288,438.75/x
  3. Step 3: Cross multiply
    188,284.50x = 288,438.75 × 288,438.75
  4. Step 4: Simplify right side
    188,284.50x = 83,196,912,501.56
  5. Step 5: Solve for x
    x = 83,196,912,501.56/188,284.50
  6. Step 6: Final answer
    x = 441,868.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.