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Finding the Third Proportional to 244,342 and 344,085

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Solution

The third proportional to 244,342 and 344,085 is: 484,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,342 : 344,085 = 344,085 : x
  2. Step 2: Convert to fraction form
    244,342/344,085 = 344,085/x
  3. Step 3: Cross multiply
    244,342x = 344,085 × 344,085
  4. Step 4: Simplify right side
    244,342x = 118,394,487,225
  5. Step 5: Solve for x
    x = 118,394,487,225/244,342
  6. Step 6: Final answer
    x = 484,544.15

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Why These Related Problems?

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