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Finding the Third Proportional to 164.53 and 353.74

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Solution

The third proportional to 164.53 and 353.74 is: 760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.53 : 353.74 = 353.74 : x
  2. Step 2: Convert to fraction form
    164.53/353.74 = 353.74/x
  3. Step 3: Cross multiply
    164.53x = 353.74 × 353.74
  4. Step 4: Simplify right side
    164.53x = 125,133.54
  5. Step 5: Solve for x
    x = 125,133.54/164.53
  6. Step 6: Final answer
    x = 760.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.