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Finding the Third Proportional to 160.44 and 347.69

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Solution

The third proportional to 160.44 and 347.69 is: 753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.44 : 347.69 = 347.69 : x
  2. Step 2: Convert to fraction form
    160.44/347.69 = 347.69/x
  3. Step 3: Cross multiply
    160.44x = 347.69 × 347.69
  4. Step 4: Simplify right side
    160.44x = 120,886.60
  5. Step 5: Solve for x
    x = 120,886.60/160.44
  6. Step 6: Final answer
    x = 753.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.