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Finding the Third Proportional to 207,966 and 297,401

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Solution

The third proportional to 207,966 and 297,401 is: 425,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,966 : 297,401 = 297,401 : x
  2. Step 2: Convert to fraction form
    207,966/297,401 = 297,401/x
  3. Step 3: Cross multiply
    207,966x = 297,401 × 297,401
  4. Step 4: Simplify right side
    207,966x = 88,447,354,801
  5. Step 5: Solve for x
    x = 88,447,354,801/207,966
  6. Step 6: Final answer
    x = 425,297.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.