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Finding the Third Proportional to 131,408.63 and 205,863.75

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Solution

The third proportional to 131,408.63 and 205,863.75 is: 322,504.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,408.63 : 205,863.75 = 205,863.75 : x
  2. Step 2: Convert to fraction form
    131,408.63/205,863.75 = 205,863.75/x
  3. Step 3: Cross multiply
    131,408.63x = 205,863.75 × 205,863.75
  4. Step 4: Simplify right side
    131,408.63x = 42,379,883,564.06
  5. Step 5: Solve for x
    x = 42,379,883,564.06/131,408.63
  6. Step 6: Final answer
    x = 322,504.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.