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Finding the Third Proportional to 167,410.55 and 256,523.63

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Solution

The third proportional to 167,410.55 and 256,523.63 is: 393,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,410.55 : 256,523.63 = 256,523.63 : x
  2. Step 2: Convert to fraction form
    167,410.55/256,523.63 = 256,523.63/x
  3. Step 3: Cross multiply
    167,410.55x = 256,523.63 × 256,523.63
  4. Step 4: Simplify right side
    167,410.55x = 65,804,370,183.14
  5. Step 5: Solve for x
    x = 65,804,370,183.14/167,410.55
  6. Step 6: Final answer
    x = 393,071.83

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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.