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Finding the Third Proportional to 191,777.25 and 287,665.75

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Solution

The third proportional to 191,777.25 and 287,665.75 is: 431,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,777.25 : 287,665.75 = 287,665.75 : x
  2. Step 2: Convert to fraction form
    191,777.25/287,665.75 = 287,665.75/x
  3. Step 3: Cross multiply
    191,777.25x = 287,665.75 × 287,665.75
  4. Step 4: Simplify right side
    191,777.25x = 82,751,583,723.06
  5. Step 5: Solve for x
    x = 82,751,583,723.06/191,777.25
  6. Step 6: Final answer
    x = 431,498.44

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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.