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Finding the Third Proportional to 100,297.50 and 208,995

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Solution

The third proportional to 100,297.50 and 208,995 is: 435,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,297.50 : 208,995 = 208,995 : x
  2. Step 2: Convert to fraction form
    100,297.50/208,995 = 208,995/x
  3. Step 3: Cross multiply
    100,297.50x = 208,995 × 208,995
  4. Step 4: Simplify right side
    100,297.50x = 43,678,910,025
  5. Step 5: Solve for x
    x = 43,678,910,025/100,297.50
  6. Step 6: Final answer
    x = 435,493.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.