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Finding the Third Proportional to 167,133 and 352,878

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Solution

The third proportional to 167,133 and 352,878 is: 745,052.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,133 : 352,878 = 352,878 : x
  2. Step 2: Convert to fraction form
    167,133/352,878 = 352,878/x
  3. Step 3: Cross multiply
    167,133x = 352,878 × 352,878
  4. Step 4: Simplify right side
    167,133x = 124,522,882,884
  5. Step 5: Solve for x
    x = 124,522,882,884/167,133
  6. Step 6: Final answer
    x = 745,052.64

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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.