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Finding the Third Proportional to 165,538 and 263,050

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Solution

The third proportional to 165,538 and 263,050 is: 418,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,538 : 263,050 = 263,050 : x
  2. Step 2: Convert to fraction form
    165,538/263,050 = 263,050/x
  3. Step 3: Cross multiply
    165,538x = 263,050 × 263,050
  4. Step 4: Simplify right side
    165,538x = 69,195,302,500
  5. Step 5: Solve for x
    x = 69,195,302,500/165,538
  6. Step 6: Final answer
    x = 418,002.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.