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Finding the Third Proportional to 141,184.50 and 275,274.75

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Solution

The third proportional to 141,184.50 and 275,274.75 is: 536,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,184.50 : 275,274.75 = 275,274.75 : x
  2. Step 2: Convert to fraction form
    141,184.50/275,274.75 = 275,274.75/x
  3. Step 3: Cross multiply
    141,184.50x = 275,274.75 × 275,274.75
  4. Step 4: Simplify right side
    141,184.50x = 75,776,187,987.56
  5. Step 5: Solve for x
    x = 75,776,187,987.56/141,184.50
  6. Step 6: Final answer
    x = 536,717.47

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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.