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Finding the Third Proportional to 167,052 and 347,928

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Solution

The third proportional to 167,052 and 347,928 is: 724,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,052 : 347,928 = 347,928 : x
  2. Step 2: Convert to fraction form
    167,052/347,928 = 347,928/x
  3. Step 3: Cross multiply
    167,052x = 347,928 × 347,928
  4. Step 4: Simplify right side
    167,052x = 121,053,893,184
  5. Step 5: Solve for x
    x = 121,053,893,184/167,052
  6. Step 6: Final answer
    x = 724,647.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.