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Finding the Third Proportional to 198,419 and 468,299

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Solution

The third proportional to 198,419 and 468,299 is: 1,105,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,419 : 468,299 = 468,299 : x
  2. Step 2: Convert to fraction form
    198,419/468,299 = 468,299/x
  3. Step 3: Cross multiply
    198,419x = 468,299 × 468,299
  4. Step 4: Simplify right side
    198,419x = 219,303,953,401
  5. Step 5: Solve for x
    x = 219,303,953,401/198,419
  6. Step 6: Final answer
    x = 1,105,256.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.