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Finding the Third Proportional to 141,201.75 and 275,308.50

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Solution

The third proportional to 141,201.75 and 275,308.50 is: 536,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,201.75 : 275,308.50 = 275,308.50 : x
  2. Step 2: Convert to fraction form
    141,201.75/275,308.50 = 275,308.50/x
  3. Step 3: Cross multiply
    141,201.75x = 275,308.50 × 275,308.50
  4. Step 4: Simplify right side
    141,201.75x = 75,794,770,172.25
  5. Step 5: Solve for x
    x = 75,794,770,172.25/141,201.75
  6. Step 6: Final answer
    x = 536,783.50

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.