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Finding the Third Proportional to 203,226.75 and 285,935.06

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Solution

The third proportional to 203,226.75 and 285,935.06 is: 402,303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,226.75 : 285,935.06 = 285,935.06 : x
  2. Step 2: Convert to fraction form
    203,226.75/285,935.06 = 285,935.06/x
  3. Step 3: Cross multiply
    203,226.75x = 285,935.06 × 285,935.06
  4. Step 4: Simplify right side
    203,226.75x = 81,758,859,966.88
  5. Step 5: Solve for x
    x = 81,758,859,966.88/203,226.75
  6. Step 6: Final answer
    x = 402,303.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.