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Finding the Third Proportional to 203,472 and 308,664

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Solution

The third proportional to 203,472 and 308,664 is: 468,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,472 : 308,664 = 308,664 : x
  2. Step 2: Convert to fraction form
    203,472/308,664 = 308,664/x
  3. Step 3: Cross multiply
    203,472x = 308,664 × 308,664
  4. Step 4: Simplify right side
    203,472x = 95,273,464,896
  5. Step 5: Solve for x
    x = 95,273,464,896/203,472
  6. Step 6: Final answer
    x = 468,238.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.