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Finding the Third Proportional to 84,971.25 and 198,454.50

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Solution

The third proportional to 84,971.25 and 198,454.50 is: 463,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,971.25 : 198,454.50 = 198,454.50 : x
  2. Step 2: Convert to fraction form
    84,971.25/198,454.50 = 198,454.50/x
  3. Step 3: Cross multiply
    84,971.25x = 198,454.50 × 198,454.50
  4. Step 4: Simplify right side
    84,971.25x = 39,384,188,570.25
  5. Step 5: Solve for x
    x = 39,384,188,570.25/84,971.25
  6. Step 6: Final answer
    x = 463,500.17

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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.