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Finding the Third Proportional to 244,653.75 and 344,529

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Solution

The third proportional to 244,653.75 and 344,529 is: 485,176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,653.75 : 344,529 = 344,529 : x
  2. Step 2: Convert to fraction form
    244,653.75/344,529 = 344,529/x
  3. Step 3: Cross multiply
    244,653.75x = 344,529 × 344,529
  4. Step 4: Simplify right side
    244,653.75x = 118,700,231,841
  5. Step 5: Solve for x
    x = 118,700,231,841/244,653.75
  6. Step 6: Final answer
    x = 485,176.43

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.