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Finding the Third Proportional to 171.42 and 265.36

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Solution

The third proportional to 171.42 and 265.36 is: 410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.42 : 265.36 = 265.36 : x
  2. Step 2: Convert to fraction form
    171.42/265.36 = 265.36/x
  3. Step 3: Cross multiply
    171.42x = 265.36 × 265.36
  4. Step 4: Simplify right side
    171.42x = 70,415.60
  5. Step 5: Solve for x
    x = 70,415.60/171.42
  6. Step 6: Final answer
    x = 410.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.