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Finding the Third Proportional to 168,981.19 and 263,163.94

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Solution

The third proportional to 168,981.19 and 263,163.94 is: 409,840.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,981.19 : 263,163.94 = 263,163.94 : x
  2. Step 2: Convert to fraction form
    168,981.19/263,163.94 = 263,163.94/x
  3. Step 3: Cross multiply
    168,981.19x = 263,163.94 × 263,163.94
  4. Step 4: Simplify right side
    168,981.19x = 69,255,258,000.50
  5. Step 5: Solve for x
    x = 69,255,258,000.50/168,981.19
  6. Step 6: Final answer
    x = 409,840.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.