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Finding the Third Proportional to 198,336.75 and 436,039.50

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Solution

The third proportional to 198,336.75 and 436,039.50 is: 958,624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,336.75 : 436,039.50 = 436,039.50 : x
  2. Step 2: Convert to fraction form
    198,336.75/436,039.50 = 436,039.50/x
  3. Step 3: Cross multiply
    198,336.75x = 436,039.50 × 436,039.50
  4. Step 4: Simplify right side
    198,336.75x = 190,130,445,560.25
  5. Step 5: Solve for x
    x = 190,130,445,560.25/198,336.75
  6. Step 6: Final answer
    x = 958,624.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.