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Finding the Third Proportional to 164,745.75 and 342,612.75

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Solution

The third proportional to 164,745.75 and 342,612.75 is: 712,513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,745.75 : 342,612.75 = 342,612.75 : x
  2. Step 2: Convert to fraction form
    164,745.75/342,612.75 = 342,612.75/x
  3. Step 3: Cross multiply
    164,745.75x = 342,612.75 × 342,612.75
  4. Step 4: Simplify right side
    164,745.75x = 117,383,496,462.56
  5. Step 5: Solve for x
    x = 117,383,496,462.56/164,745.75
  6. Step 6: Final answer
    x = 712,513.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.