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Finding the Third Proportional to 184,729.50 and 397,085.63

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Solution

The third proportional to 184,729.50 and 397,085.63 is: 853,556.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,729.50 : 397,085.63 = 397,085.63 : x
  2. Step 2: Convert to fraction form
    184,729.50/397,085.63 = 397,085.63/x
  3. Step 3: Cross multiply
    184,729.50x = 397,085.63 × 397,085.63
  4. Step 4: Simplify right side
    184,729.50x = 157,676,993,581.64
  5. Step 5: Solve for x
    x = 157,676,993,581.64/184,729.50
  6. Step 6: Final answer
    x = 853,556.11

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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.