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Finding the Third Proportional to 184,033.50 and 397,065

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Solution

The third proportional to 184,033.50 and 397,065 is: 856,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,033.50 : 397,065 = 397,065 : x
  2. Step 2: Convert to fraction form
    184,033.50/397,065 = 397,065/x
  3. Step 3: Cross multiply
    184,033.50x = 397,065 × 397,065
  4. Step 4: Simplify right side
    184,033.50x = 157,660,614,225
  5. Step 5: Solve for x
    x = 157,660,614,225/184,033.50
  6. Step 6: Final answer
    x = 856,695.19

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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.