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Finding the Third Proportional to 146.91 and 209.06

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Solution

The third proportional to 146.91 and 209.06 is: 297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.91 : 209.06 = 209.06 : x
  2. Step 2: Convert to fraction form
    146.91/209.06 = 209.06/x
  3. Step 3: Cross multiply
    146.91x = 209.06 × 209.06
  4. Step 4: Simplify right side
    146.91x = 43,707.13
  5. Step 5: Solve for x
    x = 43,707.13/146.91
  6. Step 6: Final answer
    x = 297.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.