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Finding the Third Proportional to 205,990.50 and 451,255

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Solution

The third proportional to 205,990.50 and 451,255 is: 988,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,990.50 : 451,255 = 451,255 : x
  2. Step 2: Convert to fraction form
    205,990.50/451,255 = 451,255/x
  3. Step 3: Cross multiply
    205,990.50x = 451,255 × 451,255
  4. Step 4: Simplify right side
    205,990.50x = 203,631,075,025
  5. Step 5: Solve for x
    x = 203,631,075,025/205,990.50
  6. Step 6: Final answer
    x = 988,545.95

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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.