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Finding the Third Proportional to 191,776.75 and 287,665

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Solution

The third proportional to 191,776.75 and 287,665 is: 431,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,776.75 : 287,665 = 287,665 : x
  2. Step 2: Convert to fraction form
    191,776.75/287,665 = 287,665/x
  3. Step 3: Cross multiply
    191,776.75x = 287,665 × 287,665
  4. Step 4: Simplify right side
    191,776.75x = 82,751,152,225
  5. Step 5: Solve for x
    x = 82,751,152,225/191,776.75
  6. Step 6: Final answer
    x = 431,497.31

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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.