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Finding the Third Proportional to 169.70 and 373.46

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Solution

The third proportional to 169.70 and 373.46 is: 821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.70 : 373.46 = 373.46 : x
  2. Step 2: Convert to fraction form
    169.70/373.46 = 373.46/x
  3. Step 3: Cross multiply
    169.70x = 373.46 × 373.46
  4. Step 4: Simplify right side
    169.70x = 139,475.99
  5. Step 5: Solve for x
    x = 139,475.99/169.70
  6. Step 6: Final answer
    x = 821.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.