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Finding the Third Proportional to 173.71 and 254.87

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Solution

The third proportional to 173.71 and 254.87 is: 373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.71 : 254.87 = 254.87 : x
  2. Step 2: Convert to fraction form
    173.71/254.87 = 254.87/x
  3. Step 3: Cross multiply
    173.71x = 254.87 × 254.87
  4. Step 4: Simplify right side
    173.71x = 64,956.29
  5. Step 5: Solve for x
    x = 64,956.29/173.71
  6. Step 6: Final answer
    x = 373.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.