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Finding the Third Proportional to 216,126.75 and 347,256

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Solution

The third proportional to 216,126.75 and 347,256 is: 557,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,126.75 : 347,256 = 347,256 : x
  2. Step 2: Convert to fraction form
    216,126.75/347,256 = 347,256/x
  3. Step 3: Cross multiply
    216,126.75x = 347,256 × 347,256
  4. Step 4: Simplify right side
    216,126.75x = 120,586,729,536
  5. Step 5: Solve for x
    x = 120,586,729,536/216,126.75
  6. Step 6: Final answer
    x = 557,944.49

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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.