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Finding the Third Proportional to 178.66 and 384.01

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Solution

The third proportional to 178.66 and 384.01 is: 825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.66 : 384.01 = 384.01 : x
  2. Step 2: Convert to fraction form
    178.66/384.01 = 384.01/x
  3. Step 3: Cross multiply
    178.66x = 384.01 × 384.01
  4. Step 4: Simplify right side
    178.66x = 147,465.00
  5. Step 5: Solve for x
    x = 147,465.00/178.66
  6. Step 6: Final answer
    x = 825.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.