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Finding the Third Proportional to 189,849.25 and 277,276.75

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Solution

The third proportional to 189,849.25 and 277,276.75 is: 404,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,849.25 : 277,276.75 = 277,276.75 : x
  2. Step 2: Convert to fraction form
    189,849.25/277,276.75 = 277,276.75/x
  3. Step 3: Cross multiply
    189,849.25x = 277,276.75 × 277,276.75
  4. Step 4: Simplify right side
    189,849.25x = 76,882,396,090.56
  5. Step 5: Solve for x
    x = 76,882,396,090.56/189,849.25
  6. Step 6: Final answer
    x = 404,965.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.