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Finding the Third Proportional to 120,642 and 263,634

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Solution

The third proportional to 120,642 and 263,634 is: 576,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,642 : 263,634 = 263,634 : x
  2. Step 2: Convert to fraction form
    120,642/263,634 = 263,634/x
  3. Step 3: Cross multiply
    120,642x = 263,634 × 263,634
  4. Step 4: Simplify right side
    120,642x = 69,502,885,956
  5. Step 5: Solve for x
    x = 69,502,885,956/120,642
  6. Step 6: Final answer
    x = 576,108.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.