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Finding the Third Proportional to 205,909.50 and 451,185

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Solution

The third proportional to 205,909.50 and 451,185 is: 988,628.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,909.50 : 451,185 = 451,185 : x
  2. Step 2: Convert to fraction form
    205,909.50/451,185 = 451,185/x
  3. Step 3: Cross multiply
    205,909.50x = 451,185 × 451,185
  4. Step 4: Simplify right side
    205,909.50x = 203,567,904,225
  5. Step 5: Solve for x
    x = 203,567,904,225/205,909.50
  6. Step 6: Final answer
    x = 988,628.03

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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.