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Finding the Third Proportional to 204,078 and 437,682

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Solution

The third proportional to 204,078 and 437,682 is: 938,687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,078 : 437,682 = 437,682 : x
  2. Step 2: Convert to fraction form
    204,078/437,682 = 437,682/x
  3. Step 3: Cross multiply
    204,078x = 437,682 × 437,682
  4. Step 4: Simplify right side
    204,078x = 191,565,533,124
  5. Step 5: Solve for x
    x = 191,565,533,124/204,078
  6. Step 6: Final answer
    x = 938,687.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.