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Finding the Third Proportional to 107,508 and 233,676

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Solution

The third proportional to 107,508 and 233,676 is: 507,910.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,508 : 233,676 = 233,676 : x
  2. Step 2: Convert to fraction form
    107,508/233,676 = 233,676/x
  3. Step 3: Cross multiply
    107,508x = 233,676 × 233,676
  4. Step 4: Simplify right side
    107,508x = 54,604,472,976
  5. Step 5: Solve for x
    x = 54,604,472,976/107,508
  6. Step 6: Final answer
    x = 507,910.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.