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Finding the Third Proportional to 188,004 and 287,961

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Solution

The third proportional to 188,004 and 287,961 is: 441,062.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,004 : 287,961 = 287,961 : x
  2. Step 2: Convert to fraction form
    188,004/287,961 = 287,961/x
  3. Step 3: Cross multiply
    188,004x = 287,961 × 287,961
  4. Step 4: Simplify right side
    188,004x = 82,921,537,521
  5. Step 5: Solve for x
    x = 82,921,537,521/188,004
  6. Step 6: Final answer
    x = 441,062.62

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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.