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Finding the Third Proportional to 214,791.75 and 291,569.63

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Solution

The third proportional to 214,791.75 and 291,569.63 is: 395,791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,791.75 : 291,569.63 = 291,569.63 : x
  2. Step 2: Convert to fraction form
    214,791.75/291,569.63 = 291,569.63/x
  3. Step 3: Cross multiply
    214,791.75x = 291,569.63 × 291,569.63
  4. Step 4: Simplify right side
    214,791.75x = 85,012,846,222.64
  5. Step 5: Solve for x
    x = 85,012,846,222.64/214,791.75
  6. Step 6: Final answer
    x = 395,791.95

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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.