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Finding the Third Proportional to 178.45 and 261.98

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Solution

The third proportional to 178.45 and 261.98 is: 384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.45 : 261.98 = 261.98 : x
  2. Step 2: Convert to fraction form
    178.45/261.98 = 261.98/x
  3. Step 3: Cross multiply
    178.45x = 261.98 × 261.98
  4. Step 4: Simplify right side
    178.45x = 68,635.81
  5. Step 5: Solve for x
    x = 68,635.81/178.45
  6. Step 6: Final answer
    x = 384.62

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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.