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Finding the Third Proportional to 160.36 and 346.30

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Solution

The third proportional to 160.36 and 346.30 is: 747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.36 : 346.30 = 346.30 : x
  2. Step 2: Convert to fraction form
    160.36/346.30 = 346.30/x
  3. Step 3: Cross multiply
    160.36x = 346.30 × 346.30
  4. Step 4: Simplify right side
    160.36x = 119,924.23
  5. Step 5: Solve for x
    x = 119,924.23/160.36
  6. Step 6: Final answer
    x = 747.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.