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Finding the Third Proportional to 164.18 and 357.26

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Solution

The third proportional to 164.18 and 357.26 is: 777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.18 : 357.26 = 357.26 : x
  2. Step 2: Convert to fraction form
    164.18/357.26 = 357.26/x
  3. Step 3: Cross multiply
    164.18x = 357.26 × 357.26
  4. Step 4: Simplify right side
    164.18x = 127,633.14
  5. Step 5: Solve for x
    x = 127,633.14/164.18
  6. Step 6: Final answer
    x = 777.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.