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Finding the Third Proportional to 159,025.50 and 336,640.50

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Solution

The third proportional to 159,025.50 and 336,640.50 is: 712,633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,025.50 : 336,640.50 = 336,640.50 : x
  2. Step 2: Convert to fraction form
    159,025.50/336,640.50 = 336,640.50/x
  3. Step 3: Cross multiply
    159,025.50x = 336,640.50 × 336,640.50
  4. Step 4: Simplify right side
    159,025.50x = 113,326,826,240.25
  5. Step 5: Solve for x
    x = 113,326,826,240.25/159,025.50
  6. Step 6: Final answer
    x = 712,633.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.