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Finding the Third Proportional to 109,572 and 238,866

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Solution

The third proportional to 109,572 and 238,866 is: 520,725.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,572 : 238,866 = 238,866 : x
  2. Step 2: Convert to fraction form
    109,572/238,866 = 238,866/x
  3. Step 3: Cross multiply
    109,572x = 238,866 × 238,866
  4. Step 4: Simplify right side
    109,572x = 57,056,965,956
  5. Step 5: Solve for x
    x = 57,056,965,956/109,572
  6. Step 6: Final answer
    x = 520,725.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.