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Finding the Third Proportional to 191.06 and 420.56

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Solution

The third proportional to 191.06 and 420.56 is: 925.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.06 : 420.56 = 420.56 : x
  2. Step 2: Convert to fraction form
    191.06/420.56 = 420.56/x
  3. Step 3: Cross multiply
    191.06x = 420.56 × 420.56
  4. Step 4: Simplify right side
    191.06x = 176,872.82
  5. Step 5: Solve for x
    x = 176,872.82/191.06
  6. Step 6: Final answer
    x = 925.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.