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Finding the Third Proportional to 102,956 and 224,866

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Solution

The third proportional to 102,956 and 224,866 is: 491,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,956 : 224,866 = 224,866 : x
  2. Step 2: Convert to fraction form
    102,956/224,866 = 224,866/x
  3. Step 3: Cross multiply
    102,956x = 224,866 × 224,866
  4. Step 4: Simplify right side
    102,956x = 50,564,717,956
  5. Step 5: Solve for x
    x = 50,564,717,956/102,956
  6. Step 6: Final answer
    x = 491,129.39

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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.