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Finding the Third Proportional to 156,379.38 and 258,832

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Solution

The third proportional to 156,379.38 and 258,832 is: 428,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,379.38 : 258,832 = 258,832 : x
  2. Step 2: Convert to fraction form
    156,379.38/258,832 = 258,832/x
  3. Step 3: Cross multiply
    156,379.38x = 258,832 × 258,832
  4. Step 4: Simplify right side
    156,379.38x = 66,994,004,224
  5. Step 5: Solve for x
    x = 66,994,004,224/156,379.38
  6. Step 6: Final answer
    x = 428,406.91

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.