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Finding the Third Proportional to 191.25 and 345

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Solution

The third proportional to 191.25 and 345 is: 622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.25 : 345 = 345 : x
  2. Step 2: Convert to fraction form
    191.25/345 = 345/x
  3. Step 3: Cross multiply
    191.25x = 345 × 345
  4. Step 4: Simplify right side
    191.25x = 119,025
  5. Step 5: Solve for x
    x = 119,025/191.25
  6. Step 6: Final answer
    x = 622.35

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.