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Finding the Third Proportional to 161.79 and 346.36

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Solution

The third proportional to 161.79 and 346.36 is: 741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.79 : 346.36 = 346.36 : x
  2. Step 2: Convert to fraction form
    161.79/346.36 = 346.36/x
  3. Step 3: Cross multiply
    161.79x = 346.36 × 346.36
  4. Step 4: Simplify right side
    161.79x = 119,964.82
  5. Step 5: Solve for x
    x = 119,964.82/161.79
  6. Step 6: Final answer
    x = 741.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.