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Finding the Third Proportional to 162.13 and 354.06

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Solution

The third proportional to 162.13 and 354.06 is: 773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.13 : 354.06 = 354.06 : x
  2. Step 2: Convert to fraction form
    162.13/354.06 = 354.06/x
  3. Step 3: Cross multiply
    162.13x = 354.06 × 354.06
  4. Step 4: Simplify right side
    162.13x = 125,360.25
  5. Step 5: Solve for x
    x = 125,360.25/162.13
  6. Step 6: Final answer
    x = 773.23

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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.