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Finding the Third Proportional to 283,108 and 616,168

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Solution

The third proportional to 283,108 and 616,168 is: 1,341,053.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,108 : 616,168 = 616,168 : x
  2. Step 2: Convert to fraction form
    283,108/616,168 = 616,168/x
  3. Step 3: Cross multiply
    283,108x = 616,168 × 616,168
  4. Step 4: Simplify right side
    283,108x = 379,663,004,224
  5. Step 5: Solve for x
    x = 379,663,004,224/283,108
  6. Step 6: Final answer
    x = 1,341,053.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.