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Finding the Third Proportional to 164.75 and 356.50

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Solution

The third proportional to 164.75 and 356.50 is: 771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.75 : 356.50 = 356.50 : x
  2. Step 2: Convert to fraction form
    164.75/356.50 = 356.50/x
  3. Step 3: Cross multiply
    164.75x = 356.50 × 356.50
  4. Step 4: Simplify right side
    164.75x = 127,092.25
  5. Step 5: Solve for x
    x = 127,092.25/164.75
  6. Step 6: Final answer
    x = 771.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.