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Finding the Third Proportional to 160.88 and 385.69

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Solution

The third proportional to 160.88 and 385.69 is: 924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.88 : 385.69 = 385.69 : x
  2. Step 2: Convert to fraction form
    160.88/385.69 = 385.69/x
  3. Step 3: Cross multiply
    160.88x = 385.69 × 385.69
  4. Step 4: Simplify right side
    160.88x = 148,754.85
  5. Step 5: Solve for x
    x = 148,754.85/160.88
  6. Step 6: Final answer
    x = 924.66

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.