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Finding the Third Proportional to 219,067.88 and 319,983.75

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Solution

The third proportional to 219,067.88 and 319,983.75 is: 467,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,067.88 : 319,983.75 = 319,983.75 : x
  2. Step 2: Convert to fraction form
    219,067.88/319,983.75 = 319,983.75/x
  3. Step 3: Cross multiply
    219,067.88x = 319,983.75 × 319,983.75
  4. Step 4: Simplify right side
    219,067.88x = 102,389,600,264.06
  5. Step 5: Solve for x
    x = 102,389,600,264.06/219,067.88
  6. Step 6: Final answer
    x = 467,387.56

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