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Finding the Third Proportional to 108,675 and 224,334

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Solution

The third proportional to 108,675 and 224,334 is: 463,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,675 : 224,334 = 224,334 : x
  2. Step 2: Convert to fraction form
    108,675/224,334 = 224,334/x
  3. Step 3: Cross multiply
    108,675x = 224,334 × 224,334
  4. Step 4: Simplify right side
    108,675x = 50,325,743,556
  5. Step 5: Solve for x
    x = 50,325,743,556/108,675
  6. Step 6: Final answer
    x = 463,084.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.