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Finding the Third Proportional to 161.03 and 346.34

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Solution

The third proportional to 161.03 and 346.34 is: 744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.03 : 346.34 = 346.34 : x
  2. Step 2: Convert to fraction form
    161.03/346.34 = 346.34/x
  3. Step 3: Cross multiply
    161.03x = 346.34 × 346.34
  4. Step 4: Simplify right side
    161.03x = 119,953.99
  5. Step 5: Solve for x
    x = 119,953.99/161.03
  6. Step 6: Final answer
    x = 744.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.