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Finding the Third Proportional to 108,046 and 224,756

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Solution

The third proportional to 108,046 and 224,756 is: 467,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,046 : 224,756 = 224,756 : x
  2. Step 2: Convert to fraction form
    108,046/224,756 = 224,756/x
  3. Step 3: Cross multiply
    108,046x = 224,756 × 224,756
  4. Step 4: Simplify right side
    108,046x = 50,515,259,536
  5. Step 5: Solve for x
    x = 50,515,259,536/108,046
  6. Step 6: Final answer
    x = 467,534.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.