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Finding the Third Proportional to 198,329 and 436,025

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Solution

The third proportional to 198,329 and 436,025 is: 958,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,329 : 436,025 = 436,025 : x
  2. Step 2: Convert to fraction form
    198,329/436,025 = 436,025/x
  3. Step 3: Cross multiply
    198,329x = 436,025 × 436,025
  4. Step 4: Simplify right side
    198,329x = 190,117,800,625
  5. Step 5: Solve for x
    x = 190,117,800,625/198,329
  6. Step 6: Final answer
    x = 958,598.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.