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Finding the Third Proportional to 219,048 and 283,644

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Solution

The third proportional to 219,048 and 283,644 is: 367,288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,048 : 283,644 = 283,644 : x
  2. Step 2: Convert to fraction form
    219,048/283,644 = 283,644/x
  3. Step 3: Cross multiply
    219,048x = 283,644 × 283,644
  4. Step 4: Simplify right side
    219,048x = 80,453,918,736
  5. Step 5: Solve for x
    x = 80,453,918,736/219,048
  6. Step 6: Final answer
    x = 367,288.99

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.