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Finding the Third Proportional to 161.37 and 348.36

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Solution

The third proportional to 161.37 and 348.36 is: 752.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.37 : 348.36 = 348.36 : x
  2. Step 2: Convert to fraction form
    161.37/348.36 = 348.36/x
  3. Step 3: Cross multiply
    161.37x = 348.36 × 348.36
  4. Step 4: Simplify right side
    161.37x = 121,356.98
  5. Step 5: Solve for x
    x = 121,356.98/161.37
  6. Step 6: Final answer
    x = 752.05

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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.