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Finding the Third Proportional to 217,320.75 and 319,479.75

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Solution

The third proportional to 217,320.75 and 319,479.75 is: 469,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,320.75 : 319,479.75 = 319,479.75 : x
  2. Step 2: Convert to fraction form
    217,320.75/319,479.75 = 319,479.75/x
  3. Step 3: Cross multiply
    217,320.75x = 319,479.75 × 319,479.75
  4. Step 4: Simplify right side
    217,320.75x = 102,067,310,660.06
  5. Step 5: Solve for x
    x = 102,067,310,660.06/217,320.75
  6. Step 6: Final answer
    x = 469,662.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.