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Finding the Third Proportional to 173.00 and 368.42

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Solution

The third proportional to 173.00 and 368.42 is: 784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.00 : 368.42 = 368.42 : x
  2. Step 2: Convert to fraction form
    173.00/368.42 = 368.42/x
  3. Step 3: Cross multiply
    173.00x = 368.42 × 368.42
  4. Step 4: Simplify right side
    173.00x = 135,730.00
  5. Step 5: Solve for x
    x = 135,730.00/173.00
  6. Step 6: Final answer
    x = 784.59

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.