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Finding the Third Proportional to 102,769.75 and 224,165.75

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Solution

The third proportional to 102,769.75 and 224,165.75 is: 488,959.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,769.75 : 224,165.75 = 224,165.75 : x
  2. Step 2: Convert to fraction form
    102,769.75/224,165.75 = 224,165.75/x
  3. Step 3: Cross multiply
    102,769.75x = 224,165.75 × 224,165.75
  4. Step 4: Simplify right side
    102,769.75x = 50,250,283,473.06
  5. Step 5: Solve for x
    x = 50,250,283,473.06/102,769.75
  6. Step 6: Final answer
    x = 488,959.87

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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.