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Finding the Third Proportional to 216,114.75 and 347,238.56

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Solution

The third proportional to 216,114.75 and 347,238.56 is: 557,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,114.75 : 347,238.56 = 347,238.56 : x
  2. Step 2: Convert to fraction form
    216,114.75/347,238.56 = 347,238.56/x
  3. Step 3: Cross multiply
    216,114.75x = 347,238.56 × 347,238.56
  4. Step 4: Simplify right side
    216,114.75x = 120,574,619,287.07
  5. Step 5: Solve for x
    x = 120,574,619,287.07/216,114.75
  6. Step 6: Final answer
    x = 557,919.44

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.