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Finding the Third Proportional to 131,072 and 284,336

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Solution

The third proportional to 131,072 and 284,336 is: 616,813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,072 : 284,336 = 284,336 : x
  2. Step 2: Convert to fraction form
    131,072/284,336 = 284,336/x
  3. Step 3: Cross multiply
    131,072x = 284,336 × 284,336
  4. Step 4: Simplify right side
    131,072x = 80,846,960,896
  5. Step 5: Solve for x
    x = 80,846,960,896/131,072
  6. Step 6: Final answer
    x = 616,813.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.