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Finding the Third Proportional to 187,260.75 and 409,555.13

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Solution

The third proportional to 187,260.75 and 409,555.13 is: 895,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,260.75 : 409,555.13 = 409,555.13 : x
  2. Step 2: Convert to fraction form
    187,260.75/409,555.13 = 409,555.13/x
  3. Step 3: Cross multiply
    187,260.75x = 409,555.13 × 409,555.13
  4. Step 4: Simplify right side
    187,260.75x = 167,735,400,413.77
  5. Step 5: Solve for x
    x = 167,735,400,413.77/187,260.75
  6. Step 6: Final answer
    x = 895,731.76

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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.