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Finding the Third Proportional to 168,052.88 and 362,847.38

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Solution

The third proportional to 168,052.88 and 362,847.38 is: 783,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,052.88 : 362,847.38 = 362,847.38 : x
  2. Step 2: Convert to fraction form
    168,052.88/362,847.38 = 362,847.38/x
  3. Step 3: Cross multiply
    168,052.88x = 362,847.38 × 362,847.38
  4. Step 4: Simplify right side
    168,052.88x = 131,658,217,544.39
  5. Step 5: Solve for x
    x = 131,658,217,544.39/168,052.88
  6. Step 6: Final answer
    x = 783,433.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.