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Finding the Third Proportional to 178 and 262

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Solution

The third proportional to 178 and 262 is: 385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178 : 262 = 262 : x
  2. Step 2: Convert to fraction form
    178/262 = 262/x
  3. Step 3: Cross multiply
    178x = 262 × 262
  4. Step 4: Simplify right side
    178x = 68,644
  5. Step 5: Solve for x
    x = 68,644/178
  6. Step 6: Final answer
    x = 385.64

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Why These Related Problems?

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