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Finding the Third Proportional to 185,814.75 and 280,463.63

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Solution

The third proportional to 185,814.75 and 280,463.63 is: 423,324.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,814.75 : 280,463.63 = 280,463.63 : x
  2. Step 2: Convert to fraction form
    185,814.75/280,463.63 = 280,463.63/x
  3. Step 3: Cross multiply
    185,814.75x = 280,463.63 × 280,463.63
  4. Step 4: Simplify right side
    185,814.75x = 78,659,844,948.14
  5. Step 5: Solve for x
    x = 78,659,844,948.14/185,814.75
  6. Step 6: Final answer
    x = 423,324.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.