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Finding the Third Proportional to 191.58 and 287.37

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Solution

The third proportional to 191.58 and 287.37 is: 431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.58 : 287.37 = 287.37 : x
  2. Step 2: Convert to fraction form
    191.58/287.37 = 287.37/x
  3. Step 3: Cross multiply
    191.58x = 287.37 × 287.37
  4. Step 4: Simplify right side
    191.58x = 82,580.29
  5. Step 5: Solve for x
    x = 82,580.29/191.58
  6. Step 6: Final answer
    x = 431.05

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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.