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Finding the Third Proportional to 129,404 and 198,201

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Solution

The third proportional to 129,404 and 198,201 is: 303,573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,404 : 198,201 = 198,201 : x
  2. Step 2: Convert to fraction form
    129,404/198,201 = 198,201/x
  3. Step 3: Cross multiply
    129,404x = 198,201 × 198,201
  4. Step 4: Simplify right side
    129,404x = 39,283,636,401
  5. Step 5: Solve for x
    x = 39,283,636,401/129,404
  6. Step 6: Final answer
    x = 303,573.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.