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Finding the Third Proportional to 173.44 and 373.69

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Solution

The third proportional to 173.44 and 373.69 is: 805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.44 : 373.69 = 373.69 : x
  2. Step 2: Convert to fraction form
    173.44/373.69 = 373.69/x
  3. Step 3: Cross multiply
    173.44x = 373.69 × 373.69
  4. Step 4: Simplify right side
    173.44x = 139,642.35
  5. Step 5: Solve for x
    x = 139,642.35/173.44
  6. Step 6: Final answer
    x = 805.15

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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.