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Finding the Third Proportional to 146,058 and 235,151

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Solution

The third proportional to 146,058 and 235,151 is: 378,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,058 : 235,151 = 235,151 : x
  2. Step 2: Convert to fraction form
    146,058/235,151 = 235,151/x
  3. Step 3: Cross multiply
    146,058x = 235,151 × 235,151
  4. Step 4: Simplify right side
    146,058x = 55,295,992,801
  5. Step 5: Solve for x
    x = 55,295,992,801/146,058
  6. Step 6: Final answer
    x = 378,589.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.