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Finding the Third Proportional to 120,738 and 263,913

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Solution

The third proportional to 120,738 and 263,913 is: 576,869.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,738 : 263,913 = 263,913 : x
  2. Step 2: Convert to fraction form
    120,738/263,913 = 263,913/x
  3. Step 3: Cross multiply
    120,738x = 263,913 × 263,913
  4. Step 4: Simplify right side
    120,738x = 69,650,071,569
  5. Step 5: Solve for x
    x = 69,650,071,569/120,738
  6. Step 6: Final answer
    x = 576,869.52

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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.