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Finding the Third Proportional to 184,000.50 and 397,017

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Solution

The third proportional to 184,000.50 and 397,017 is: 856,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,000.50 : 397,017 = 397,017 : x
  2. Step 2: Convert to fraction form
    184,000.50/397,017 = 397,017/x
  3. Step 3: Cross multiply
    184,000.50x = 397,017 × 397,017
  4. Step 4: Simplify right side
    184,000.50x = 157,622,498,289
  5. Step 5: Solve for x
    x = 157,622,498,289/184,000.50
  6. Step 6: Final answer
    x = 856,641.68

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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.