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Finding the Third Proportional to 184,732 and 397,090

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Solution

The third proportional to 184,732 and 397,090 is: 853,563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,732 : 397,090 = 397,090 : x
  2. Step 2: Convert to fraction form
    184,732/397,090 = 397,090/x
  3. Step 3: Cross multiply
    184,732x = 397,090 × 397,090
  4. Step 4: Simplify right side
    184,732x = 157,680,468,100
  5. Step 5: Solve for x
    x = 157,680,468,100/184,732
  6. Step 6: Final answer
    x = 853,563.37

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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.