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Finding the Third Proportional to 119,103.75 and 261,537.75

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Solution

The third proportional to 119,103.75 and 261,537.75 is: 574,305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,103.75 : 261,537.75 = 261,537.75 : x
  2. Step 2: Convert to fraction form
    119,103.75/261,537.75 = 261,537.75/x
  3. Step 3: Cross multiply
    119,103.75x = 261,537.75 × 261,537.75
  4. Step 4: Simplify right side
    119,103.75x = 68,401,994,675.06
  5. Step 5: Solve for x
    x = 68,401,994,675.06/119,103.75
  6. Step 6: Final answer
    x = 574,305.97

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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.