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Finding the Third Proportional to 178 and 445

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Solution

The third proportional to 178 and 445 is: 1,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178 : 445 = 445 : x
  2. Step 2: Convert to fraction form
    178/445 = 445/x
  3. Step 3: Cross multiply
    178x = 445 × 445
  4. Step 4: Simplify right side
    178x = 198,025
  5. Step 5: Solve for x
    x = 198,025/178
  6. Step 6: Final answer
    x = 1,112.50

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Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.