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Finding the Third Proportional to 84,969 and 198,448

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Solution

The third proportional to 84,969 and 198,448 is: 463,482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,969 : 198,448 = 198,448 : x
  2. Step 2: Convert to fraction form
    84,969/198,448 = 198,448/x
  3. Step 3: Cross multiply
    84,969x = 198,448 × 198,448
  4. Step 4: Simplify right side
    84,969x = 39,381,608,704
  5. Step 5: Solve for x
    x = 39,381,608,704/84,969
  6. Step 6: Final answer
    x = 463,482.08

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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.