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Finding the Third Proportional to 103,886 and 224,174

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Solution

The third proportional to 103,886 and 224,174 is: 483,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,886 : 224,174 = 224,174 : x
  2. Step 2: Convert to fraction form
    103,886/224,174 = 224,174/x
  3. Step 3: Cross multiply
    103,886x = 224,174 × 224,174
  4. Step 4: Simplify right side
    103,886x = 50,253,982,276
  5. Step 5: Solve for x
    x = 50,253,982,276/103,886
  6. Step 6: Final answer
    x = 483,741.62

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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.