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Finding the Third Proportional to 185,526 and 397,287

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Solution

The third proportional to 185,526 and 397,287 is: 850,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,526 : 397,287 = 397,287 : x
  2. Step 2: Convert to fraction form
    185,526/397,287 = 397,287/x
  3. Step 3: Cross multiply
    185,526x = 397,287 × 397,287
  4. Step 4: Simplify right side
    185,526x = 157,836,960,369
  5. Step 5: Solve for x
    x = 157,836,960,369/185,526
  6. Step 6: Final answer
    x = 850,753.86

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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.