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Finding the Third Proportional to 207,222 and 321,201

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Solution

The third proportional to 207,222 and 321,201 is: 497,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,222 : 321,201 = 321,201 : x
  2. Step 2: Convert to fraction form
    207,222/321,201 = 321,201/x
  3. Step 3: Cross multiply
    207,222x = 321,201 × 321,201
  4. Step 4: Simplify right side
    207,222x = 103,170,082,401
  5. Step 5: Solve for x
    x = 103,170,082,401/207,222
  6. Step 6: Final answer
    x = 497,872.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.