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Finding the Third Proportional to 185,204 and 285,498

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Solution

The third proportional to 185,204 and 285,498 is: 440,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,204 : 285,498 = 285,498 : x
  2. Step 2: Convert to fraction form
    185,204/285,498 = 285,498/x
  3. Step 3: Cross multiply
    185,204x = 285,498 × 285,498
  4. Step 4: Simplify right side
    185,204x = 81,509,108,004
  5. Step 5: Solve for x
    x = 81,509,108,004/185,204
  6. Step 6: Final answer
    x = 440,104.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.