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Finding the Third Proportional to 208,552.50 and 449,568

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Solution

The third proportional to 208,552.50 and 449,568 is: 969,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,552.50 : 449,568 = 449,568 : x
  2. Step 2: Convert to fraction form
    208,552.50/449,568 = 449,568/x
  3. Step 3: Cross multiply
    208,552.50x = 449,568 × 449,568
  4. Step 4: Simplify right side
    208,552.50x = 202,111,386,624
  5. Step 5: Solve for x
    x = 202,111,386,624/208,552.50
  6. Step 6: Final answer
    x = 969,115.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.