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Finding the Third Proportional to 116,732 and 263,777

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Solution

The third proportional to 116,732 and 263,777 is: 596,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,732 : 263,777 = 263,777 : x
  2. Step 2: Convert to fraction form
    116,732/263,777 = 263,777/x
  3. Step 3: Cross multiply
    116,732x = 263,777 × 263,777
  4. Step 4: Simplify right side
    116,732x = 69,578,305,729
  5. Step 5: Solve for x
    x = 69,578,305,729/116,732
  6. Step 6: Final answer
    x = 596,051.69

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.