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Finding the Third Proportional to 160.58 and 332.54

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Solution

The third proportional to 160.58 and 332.54 is: 688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.58 : 332.54 = 332.54 : x
  2. Step 2: Convert to fraction form
    160.58/332.54 = 332.54/x
  3. Step 3: Cross multiply
    160.58x = 332.54 × 332.54
  4. Step 4: Simplify right side
    160.58x = 110,584.83
  5. Step 5: Solve for x
    x = 110,584.83/160.58
  6. Step 6: Final answer
    x = 688.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.