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Finding the Third Proportional to 84,716 and 178,168

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Solution

The third proportional to 84,716 and 178,168 is: 374,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,716 : 178,168 = 178,168 : x
  2. Step 2: Convert to fraction form
    84,716/178,168 = 178,168/x
  3. Step 3: Cross multiply
    84,716x = 178,168 × 178,168
  4. Step 4: Simplify right side
    84,716x = 31,743,836,224
  5. Step 5: Solve for x
    x = 31,743,836,224/84,716
  6. Step 6: Final answer
    x = 374,708.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.