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Finding the Third Proportional to 191.06 and 298.03

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Solution

The third proportional to 191.06 and 298.03 is: 464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.06 : 298.03 = 298.03 : x
  2. Step 2: Convert to fraction form
    191.06/298.03 = 298.03/x
  3. Step 3: Cross multiply
    191.06x = 298.03 × 298.03
  4. Step 4: Simplify right side
    191.06x = 88,822.63
  5. Step 5: Solve for x
    x = 88,822.63/191.06
  6. Step 6: Final answer
    x = 464.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.