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Finding the Third Proportional to 131,369 and 283,366

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Solution

The third proportional to 131,369 and 283,366 is: 611,227.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,369 : 283,366 = 283,366 : x
  2. Step 2: Convert to fraction form
    131,369/283,366 = 283,366/x
  3. Step 3: Cross multiply
    131,369x = 283,366 × 283,366
  4. Step 4: Simplify right side
    131,369x = 80,296,289,956
  5. Step 5: Solve for x
    x = 80,296,289,956/131,369
  6. Step 6: Final answer
    x = 611,227.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.