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Finding the Third Proportional to 188,013 and 287,977.50

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Solution

The third proportional to 188,013 and 287,977.50 is: 441,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,013 : 287,977.50 = 287,977.50 : x
  2. Step 2: Convert to fraction form
    188,013/287,977.50 = 287,977.50/x
  3. Step 3: Cross multiply
    188,013x = 287,977.50 × 287,977.50
  4. Step 4: Simplify right side
    188,013x = 82,931,040,506.25
  5. Step 5: Solve for x
    x = 82,931,040,506.25/188,013
  6. Step 6: Final answer
    x = 441,092.05

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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.