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Finding the Third Proportional to 119,104 and 261,538

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Solution

The third proportional to 119,104 and 261,538 is: 574,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,104 : 261,538 = 261,538 : x
  2. Step 2: Convert to fraction form
    119,104/261,538 = 261,538/x
  3. Step 3: Cross multiply
    119,104x = 261,538 × 261,538
  4. Step 4: Simplify right side
    119,104x = 68,402,125,444
  5. Step 5: Solve for x
    x = 68,402,125,444/119,104
  6. Step 6: Final answer
    x = 574,305.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.