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Finding the Third Proportional to 109,309.50 and 238,869

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Solution

The third proportional to 109,309.50 and 238,869 is: 521,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,309.50 : 238,869 = 238,869 : x
  2. Step 2: Convert to fraction form
    109,309.50/238,869 = 238,869/x
  3. Step 3: Cross multiply
    109,309.50x = 238,869 × 238,869
  4. Step 4: Simplify right side
    109,309.50x = 57,058,399,161
  5. Step 5: Solve for x
    x = 57,058,399,161/109,309.50
  6. Step 6: Final answer
    x = 521,989.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.