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Finding the Third Proportional to 133,222 and 200,713

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Solution

The third proportional to 133,222 and 200,713 is: 302,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,222 : 200,713 = 200,713 : x
  2. Step 2: Convert to fraction form
    133,222/200,713 = 200,713/x
  3. Step 3: Cross multiply
    133,222x = 200,713 × 200,713
  4. Step 4: Simplify right side
    133,222x = 40,285,708,369
  5. Step 5: Solve for x
    x = 40,285,708,369/133,222
  6. Step 6: Final answer
    x = 302,395.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.