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Finding the Third Proportional to 179,766 and 258,957

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Solution

The third proportional to 179,766 and 258,957 is: 373,033.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,766 : 258,957 = 258,957 : x
  2. Step 2: Convert to fraction form
    179,766/258,957 = 258,957/x
  3. Step 3: Cross multiply
    179,766x = 258,957 × 258,957
  4. Step 4: Simplify right side
    179,766x = 67,058,727,849
  5. Step 5: Solve for x
    x = 67,058,727,849/179,766
  6. Step 6: Final answer
    x = 373,033.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.