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Finding the Third Proportional to 164.53 and 350.58

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Solution

The third proportional to 164.53 and 350.58 is: 747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.53 : 350.58 = 350.58 : x
  2. Step 2: Convert to fraction form
    164.53/350.58 = 350.58/x
  3. Step 3: Cross multiply
    164.53x = 350.58 × 350.58
  4. Step 4: Simplify right side
    164.53x = 122,905.02
  5. Step 5: Solve for x
    x = 122,905.02/164.53
  6. Step 6: Final answer
    x = 747.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.