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Finding the Third Proportional to 219,069 and 319,983

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Solution

The third proportional to 219,069 and 319,983 is: 467,382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,069 : 319,983 = 319,983 : x
  2. Step 2: Convert to fraction form
    219,069/319,983 = 319,983/x
  3. Step 3: Cross multiply
    219,069x = 319,983 × 319,983
  4. Step 4: Simplify right side
    219,069x = 102,389,120,289
  5. Step 5: Solve for x
    x = 102,389,120,289/219,069
  6. Step 6: Final answer
    x = 467,382.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.