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Finding the Third Proportional to 109,481 and 236,058

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Solution

The third proportional to 109,481 and 236,058 is: 508,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,481 : 236,058 = 236,058 : x
  2. Step 2: Convert to fraction form
    109,481/236,058 = 236,058/x
  3. Step 3: Cross multiply
    109,481x = 236,058 × 236,058
  4. Step 4: Simplify right side
    109,481x = 55,723,379,364
  5. Step 5: Solve for x
    x = 55,723,379,364/109,481
  6. Step 6: Final answer
    x = 508,977.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.