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Finding the Third Proportional to 145,195.50 and 217,793.50

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Solution

The third proportional to 145,195.50 and 217,793.50 is: 326,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,195.50 : 217,793.50 = 217,793.50 : x
  2. Step 2: Convert to fraction form
    145,195.50/217,793.50 = 217,793.50/x
  3. Step 3: Cross multiply
    145,195.50x = 217,793.50 × 217,793.50
  4. Step 4: Simplify right side
    145,195.50x = 47,434,008,642.25
  5. Step 5: Solve for x
    x = 47,434,008,642.25/145,195.50
  6. Step 6: Final answer
    x = 326,690.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.