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Finding the Third Proportional to 203,208.75 and 442,612.69

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Solution

The third proportional to 203,208.75 and 442,612.69 is: 964,062.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,208.75 : 442,612.69 = 442,612.69 : x
  2. Step 2: Convert to fraction form
    203,208.75/442,612.69 = 442,612.69/x
  3. Step 3: Cross multiply
    203,208.75x = 442,612.69 × 442,612.69
  4. Step 4: Simplify right side
    203,208.75x = 195,905,991,135.97
  5. Step 5: Solve for x
    x = 195,905,991,135.97/203,208.75
  6. Step 6: Final answer
    x = 964,062.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.