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Finding the Third Proportional to 164.95 and 305.23

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Solution

The third proportional to 164.95 and 305.23 is: 564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.95 : 305.23 = 305.23 : x
  2. Step 2: Convert to fraction form
    164.95/305.23 = 305.23/x
  3. Step 3: Cross multiply
    164.95x = 305.23 × 305.23
  4. Step 4: Simplify right side
    164.95x = 93,163.25
  5. Step 5: Solve for x
    x = 93,163.25/164.95
  6. Step 6: Final answer
    x = 564.79

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.