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Finding the Third Proportional to 191,823 and 300,927

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Solution

The third proportional to 191,823 and 300,927 is: 472,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,823 : 300,927 = 300,927 : x
  2. Step 2: Convert to fraction form
    191,823/300,927 = 300,927/x
  3. Step 3: Cross multiply
    191,823x = 300,927 × 300,927
  4. Step 4: Simplify right side
    191,823x = 90,557,059,329
  5. Step 5: Solve for x
    x = 90,557,059,329/191,823
  6. Step 6: Final answer
    x = 472,086.56

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.