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Finding the Third Proportional to 224,772 and 316,183

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Solution

The third proportional to 224,772 and 316,183 is: 444,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,772 : 316,183 = 316,183 : x
  2. Step 2: Convert to fraction form
    224,772/316,183 = 316,183/x
  3. Step 3: Cross multiply
    224,772x = 316,183 × 316,183
  4. Step 4: Simplify right side
    224,772x = 99,971,689,489
  5. Step 5: Solve for x
    x = 99,971,689,489/224,772
  6. Step 6: Final answer
    x = 444,769.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.