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Finding the Third Proportional to 167,134 and 352,880

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Solution

The third proportional to 167,134 and 352,880 is: 745,056.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,134 : 352,880 = 352,880 : x
  2. Step 2: Convert to fraction form
    167,134/352,880 = 352,880/x
  3. Step 3: Cross multiply
    167,134x = 352,880 × 352,880
  4. Step 4: Simplify right side
    167,134x = 124,524,294,400
  5. Step 5: Solve for x
    x = 124,524,294,400/167,134
  6. Step 6: Final answer
    x = 745,056.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.