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Finding the Third Proportional to 191,861 and 287,790

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Solution

The third proportional to 191,861 and 287,790 is: 431,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,861 : 287,790 = 287,790 : x
  2. Step 2: Convert to fraction form
    191,861/287,790 = 287,790/x
  3. Step 3: Cross multiply
    191,861x = 287,790 × 287,790
  4. Step 4: Simplify right side
    191,861x = 82,823,084,100
  5. Step 5: Solve for x
    x = 82,823,084,100/191,861
  6. Step 6: Final answer
    x = 431,682.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.