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Finding the Third Proportional to 178.75 and 265.75

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Solution

The third proportional to 178.75 and 265.75 is: 395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.75 : 265.75 = 265.75 : x
  2. Step 2: Convert to fraction form
    178.75/265.75 = 265.75/x
  3. Step 3: Cross multiply
    178.75x = 265.75 × 265.75
  4. Step 4: Simplify right side
    178.75x = 70,623.06
  5. Step 5: Solve for x
    x = 70,623.06/178.75
  6. Step 6: Final answer
    x = 395.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.