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Finding the Third Proportional to 108,731 and 224,923

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Solution

The third proportional to 108,731 and 224,923 is: 465,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,731 : 224,923 = 224,923 : x
  2. Step 2: Convert to fraction form
    108,731/224,923 = 224,923/x
  3. Step 3: Cross multiply
    108,731x = 224,923 × 224,923
  4. Step 4: Simplify right side
    108,731x = 50,590,355,929
  5. Step 5: Solve for x
    x = 50,590,355,929/108,731
  6. Step 6: Final answer
    x = 465,279.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.