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Finding the Third Proportional to 187,120.50 and 293,199

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Solution

The third proportional to 187,120.50 and 293,199 is: 459,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,120.50 : 293,199 = 293,199 : x
  2. Step 2: Convert to fraction form
    187,120.50/293,199 = 293,199/x
  3. Step 3: Cross multiply
    187,120.50x = 293,199 × 293,199
  4. Step 4: Simplify right side
    187,120.50x = 85,965,653,601
  5. Step 5: Solve for x
    x = 85,965,653,601/187,120.50
  6. Step 6: Final answer
    x = 459,413.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.