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Finding the Third Proportional to 133,216 and 283,696

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Solution

The third proportional to 133,216 and 283,696 is: 604,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,216 : 283,696 = 283,696 : x
  2. Step 2: Convert to fraction form
    133,216/283,696 = 283,696/x
  3. Step 3: Cross multiply
    133,216x = 283,696 × 283,696
  4. Step 4: Simplify right side
    133,216x = 80,483,420,416
  5. Step 5: Solve for x
    x = 80,483,420,416/133,216
  6. Step 6: Final answer
    x = 604,157.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.