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Finding the Third Proportional to 184,666 and 396,918.50

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Solution

The third proportional to 184,666 and 396,918.50 is: 853,131.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,666 : 396,918.50 = 396,918.50 : x
  2. Step 2: Convert to fraction form
    184,666/396,918.50 = 396,918.50/x
  3. Step 3: Cross multiply
    184,666x = 396,918.50 × 396,918.50
  4. Step 4: Simplify right side
    184,666x = 157,544,295,642.25
  5. Step 5: Solve for x
    x = 157,544,295,642.25/184,666
  6. Step 6: Final answer
    x = 853,131.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.