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Finding the Third Proportional to 164.53 and 354.59

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Solution

The third proportional to 164.53 and 354.59 is: 764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.53 : 354.59 = 354.59 : x
  2. Step 2: Convert to fraction form
    164.53/354.59 = 354.59/x
  3. Step 3: Cross multiply
    164.53x = 354.59 × 354.59
  4. Step 4: Simplify right side
    164.53x = 125,731.19
  5. Step 5: Solve for x
    x = 125,731.19/164.53
  6. Step 6: Final answer
    x = 764.18

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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.