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Finding the Third Proportional to 214,296.94 and 291,882.39

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Solution

The third proportional to 214,296.94 and 291,882.39 is: 397,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,296.94 : 291,882.39 = 291,882.39 : x
  2. Step 2: Convert to fraction form
    214,296.94/291,882.39 = 291,882.39/x
  3. Step 3: Cross multiply
    214,296.94x = 291,882.39 × 291,882.39
  4. Step 4: Simplify right side
    214,296.94x = 85,195,331,097.13
  5. Step 5: Solve for x
    x = 85,195,331,097.13/214,296.94
  6. Step 6: Final answer
    x = 397,557.38

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.