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Finding the Third Proportional to 191.53 and 415.48

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Solution

The third proportional to 191.53 and 415.48 is: 901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.53 : 415.48 = 415.48 : x
  2. Step 2: Convert to fraction form
    191.53/415.48 = 415.48/x
  3. Step 3: Cross multiply
    191.53x = 415.48 × 415.48
  4. Step 4: Simplify right side
    191.53x = 172,620.77
  5. Step 5: Solve for x
    x = 172,620.77/191.53
  6. Step 6: Final answer
    x = 901.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.