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Finding the Third Proportional to 205,366.50 and 449,382.38

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Solution

The third proportional to 205,366.50 and 449,382.38 is: 983,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,366.50 : 449,382.38 = 449,382.38 : x
  2. Step 2: Convert to fraction form
    205,366.50/449,382.38 = 449,382.38/x
  3. Step 3: Cross multiply
    205,366.50x = 449,382.38 × 449,382.38
  4. Step 4: Simplify right side
    205,366.50x = 201,944,518,960.64
  5. Step 5: Solve for x
    x = 201,944,518,960.64/205,366.50
  6. Step 6: Final answer
    x = 983,337.20

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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.