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Finding the Third Proportional to 81,600 and 178,176

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Solution

The third proportional to 81,600 and 178,176 is: 389,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,600 : 178,176 = 178,176 : x
  2. Step 2: Convert to fraction form
    81,600/178,176 = 178,176/x
  3. Step 3: Cross multiply
    81,600x = 178,176 × 178,176
  4. Step 4: Simplify right side
    81,600x = 31,746,686,976
  5. Step 5: Solve for x
    x = 31,746,686,976/81,600
  6. Step 6: Final answer
    x = 389,052.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.