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Finding the Third Proportional to 173.14 and 373.46

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Solution

The third proportional to 173.14 and 373.46 is: 805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.14 : 373.46 = 373.46 : x
  2. Step 2: Convert to fraction form
    173.14/373.46 = 373.46/x
  3. Step 3: Cross multiply
    173.14x = 373.46 × 373.46
  4. Step 4: Simplify right side
    173.14x = 139,475.99
  5. Step 5: Solve for x
    x = 139,475.99/173.14
  6. Step 6: Final answer
    x = 805.55

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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.