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Finding the Third Proportional to 173,083.50 and 261,933.75

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Solution

The third proportional to 173,083.50 and 261,933.75 is: 396,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,083.50 : 261,933.75 = 261,933.75 : x
  2. Step 2: Convert to fraction form
    173,083.50/261,933.75 = 261,933.75/x
  3. Step 3: Cross multiply
    173,083.50x = 261,933.75 × 261,933.75
  4. Step 4: Simplify right side
    173,083.50x = 68,609,289,389.06
  5. Step 5: Solve for x
    x = 68,609,289,389.06/173,083.50
  6. Step 6: Final answer
    x = 396,394.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.