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Finding the Third Proportional to 108,522 and 234,589

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Solution

The third proportional to 108,522 and 234,589 is: 507,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,522 : 234,589 = 234,589 : x
  2. Step 2: Convert to fraction form
    108,522/234,589 = 234,589/x
  3. Step 3: Cross multiply
    108,522x = 234,589 × 234,589
  4. Step 4: Simplify right side
    108,522x = 55,031,998,921
  5. Step 5: Solve for x
    x = 55,031,998,921/108,522
  6. Step 6: Final answer
    x = 507,104.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.