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Finding the Third Proportional to 108,026 and 224,716

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Solution

The third proportional to 108,026 and 224,716 is: 467,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,026 : 224,716 = 224,716 : x
  2. Step 2: Convert to fraction form
    108,026/224,716 = 224,716/x
  3. Step 3: Cross multiply
    108,026x = 224,716 × 224,716
  4. Step 4: Simplify right side
    108,026x = 50,497,280,656
  5. Step 5: Solve for x
    x = 50,497,280,656/108,026
  6. Step 6: Final answer
    x = 467,454.88

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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.