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Finding the Third Proportional to 187,584.75 and 410,745.38

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Solution

The third proportional to 187,584.75 and 410,745.38 is: 899,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,584.75 : 410,745.38 = 410,745.38 : x
  2. Step 2: Convert to fraction form
    187,584.75/410,745.38 = 410,745.38/x
  3. Step 3: Cross multiply
    187,584.75x = 410,745.38 × 410,745.38
  4. Step 4: Simplify right side
    187,584.75x = 168,711,763,083.89
  5. Step 5: Solve for x
    x = 168,711,763,083.89/187,584.75
  6. Step 6: Final answer
    x = 899,389.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.