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Finding the Third Proportional to 201,598 and 297,799

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Solution

The third proportional to 201,598 and 297,799 is: 439,906.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,598 : 297,799 = 297,799 : x
  2. Step 2: Convert to fraction form
    201,598/297,799 = 297,799/x
  3. Step 3: Cross multiply
    201,598x = 297,799 × 297,799
  4. Step 4: Simplify right side
    201,598x = 88,684,244,401
  5. Step 5: Solve for x
    x = 88,684,244,401/201,598
  6. Step 6: Final answer
    x = 439,906.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.