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Finding the Third Proportional to 141,196.50 and 275,298.75

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Solution

The third proportional to 141,196.50 and 275,298.75 is: 536,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,196.50 : 275,298.75 = 275,298.75 : x
  2. Step 2: Convert to fraction form
    141,196.50/275,298.75 = 275,298.75/x
  3. Step 3: Cross multiply
    141,196.50x = 275,298.75 × 275,298.75
  4. Step 4: Simplify right side
    141,196.50x = 75,789,401,751.56
  5. Step 5: Solve for x
    x = 75,789,401,751.56/141,196.50
  6. Step 6: Final answer
    x = 536,765.44

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