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Finding the Third Proportional to 191,883 and 287,847

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Solution

The third proportional to 191,883 and 287,847 is: 431,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,883 : 287,847 = 287,847 : x
  2. Step 2: Convert to fraction form
    191,883/287,847 = 287,847/x
  3. Step 3: Cross multiply
    191,883x = 287,847 × 287,847
  4. Step 4: Simplify right side
    191,883x = 82,855,895,409
  5. Step 5: Solve for x
    x = 82,855,895,409/191,883
  6. Step 6: Final answer
    x = 431,804.25

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Why These Related Problems?

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