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Finding the Third Proportional to 184,703 and 397,654

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Solution

The third proportional to 184,703 and 397,654 is: 856,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,703 : 397,654 = 397,654 : x
  2. Step 2: Convert to fraction form
    184,703/397,654 = 397,654/x
  3. Step 3: Cross multiply
    184,703x = 397,654 × 397,654
  4. Step 4: Simplify right side
    184,703x = 158,128,703,716
  5. Step 5: Solve for x
    x = 158,128,703,716/184,703
  6. Step 6: Final answer
    x = 856,124.18

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