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Finding the Third Proportional to 198,114.75 and 306,893.25

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Solution

The third proportional to 198,114.75 and 306,893.25 is: 475,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,114.75 : 306,893.25 = 306,893.25 : x
  2. Step 2: Convert to fraction form
    198,114.75/306,893.25 = 306,893.25/x
  3. Step 3: Cross multiply
    198,114.75x = 306,893.25 × 306,893.25
  4. Step 4: Simplify right side
    198,114.75x = 94,183,466,895.56
  5. Step 5: Solve for x
    x = 94,183,466,895.56/198,114.75
  6. Step 6: Final answer
    x = 475,398.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.