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Finding the Third Proportional to 160.88 and 216.06

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Solution

The third proportional to 160.88 and 216.06 is: 290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.88 : 216.06 = 216.06 : x
  2. Step 2: Convert to fraction form
    160.88/216.06 = 216.06/x
  3. Step 3: Cross multiply
    160.88x = 216.06 × 216.06
  4. Step 4: Simplify right side
    160.88x = 46,683.00
  5. Step 5: Solve for x
    x = 46,683.00/160.88
  6. Step 6: Final answer
    x = 290.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.