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Finding the Third Proportional to 164.93 and 349.55

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Solution

The third proportional to 164.93 and 349.55 is: 740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.93 : 349.55 = 349.55 : x
  2. Step 2: Convert to fraction form
    164.93/349.55 = 349.55/x
  3. Step 3: Cross multiply
    164.93x = 349.55 × 349.55
  4. Step 4: Simplify right side
    164.93x = 122,185.07
  5. Step 5: Solve for x
    x = 122,185.07/164.93
  6. Step 6: Final answer
    x = 740.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.