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Finding the Third Proportional to 188,910 and 294,849

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Solution

The third proportional to 188,910 and 294,849 is: 460,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,910 : 294,849 = 294,849 : x
  2. Step 2: Convert to fraction form
    188,910/294,849 = 294,849/x
  3. Step 3: Cross multiply
    188,910x = 294,849 × 294,849
  4. Step 4: Simplify right side
    188,910x = 86,935,932,801
  5. Step 5: Solve for x
    x = 86,935,932,801/188,910
  6. Step 6: Final answer
    x = 460,197.62

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.