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Finding the Third Proportional to 84,963 and 198,435

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Solution

The third proportional to 84,963 and 198,435 is: 463,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,963 : 198,435 = 198,435 : x
  2. Step 2: Convert to fraction form
    84,963/198,435 = 198,435/x
  3. Step 3: Cross multiply
    84,963x = 198,435 × 198,435
  4. Step 4: Simplify right side
    84,963x = 39,376,449,225
  5. Step 5: Solve for x
    x = 39,376,449,225/84,963
  6. Step 6: Final answer
    x = 463,454.08

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.