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Finding the Third Proportional to 141,466.50 and 217,120.50

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Solution

The third proportional to 141,466.50 and 217,120.50 is: 333,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,466.50 : 217,120.50 = 217,120.50 : x
  2. Step 2: Convert to fraction form
    141,466.50/217,120.50 = 217,120.50/x
  3. Step 3: Cross multiply
    141,466.50x = 217,120.50 × 217,120.50
  4. Step 4: Simplify right side
    141,466.50x = 47,141,311,520.25
  5. Step 5: Solve for x
    x = 47,141,311,520.25/141,466.50
  6. Step 6: Final answer
    x = 333,233.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.