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Finding the Third Proportional to 188,006 and 287,964

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Solution

The third proportional to 188,006 and 287,964 is: 441,067.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,006 : 287,964 = 287,964 : x
  2. Step 2: Convert to fraction form
    188,006/287,964 = 287,964/x
  3. Step 3: Cross multiply
    188,006x = 287,964 × 287,964
  4. Step 4: Simplify right side
    188,006x = 82,923,265,296
  5. Step 5: Solve for x
    x = 82,923,265,296/188,006
  6. Step 6: Final answer
    x = 441,067.12

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Why These Related Problems?

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