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Finding the Third Proportional to 160.44 and 210.69

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Solution

The third proportional to 160.44 and 210.69 is: 276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.44 : 210.69 = 210.69 : x
  2. Step 2: Convert to fraction form
    160.44/210.69 = 210.69/x
  3. Step 3: Cross multiply
    160.44x = 210.69 × 210.69
  4. Step 4: Simplify right side
    160.44x = 44,389.22
  5. Step 5: Solve for x
    x = 44,389.22/160.44
  6. Step 6: Final answer
    x = 276.68

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.