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Finding the Third Proportional to 167,766 and 244,729

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Solution

The third proportional to 167,766 and 244,729 is: 356,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,766 : 244,729 = 244,729 : x
  2. Step 2: Convert to fraction form
    167,766/244,729 = 244,729/x
  3. Step 3: Cross multiply
    167,766x = 244,729 × 244,729
  4. Step 4: Simplify right side
    167,766x = 59,892,283,441
  5. Step 5: Solve for x
    x = 59,892,283,441/167,766
  6. Step 6: Final answer
    x = 356,998.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.