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Finding the Third Proportional to 202,222 and 440,299

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Solution

The third proportional to 202,222 and 440,299 is: 958,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,222 : 440,299 = 440,299 : x
  2. Step 2: Convert to fraction form
    202,222/440,299 = 440,299/x
  3. Step 3: Cross multiply
    202,222x = 440,299 × 440,299
  4. Step 4: Simplify right side
    202,222x = 193,863,209,401
  5. Step 5: Solve for x
    x = 193,863,209,401/202,222
  6. Step 6: Final answer
    x = 958,665.28

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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.