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Finding the Third Proportional to 184,804.50 and 395,853

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Solution

The third proportional to 184,804.50 and 395,853 is: 847,920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,804.50 : 395,853 = 395,853 : x
  2. Step 2: Convert to fraction form
    184,804.50/395,853 = 395,853/x
  3. Step 3: Cross multiply
    184,804.50x = 395,853 × 395,853
  4. Step 4: Simplify right side
    184,804.50x = 156,699,597,609
  5. Step 5: Solve for x
    x = 156,699,597,609/184,804.50
  6. Step 6: Final answer
    x = 847,920.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.