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Finding the Third Proportional to 184,735 and 397,097

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Solution

The third proportional to 184,735 and 397,097 is: 853,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,735 : 397,097 = 397,097 : x
  2. Step 2: Convert to fraction form
    184,735/397,097 = 397,097/x
  3. Step 3: Cross multiply
    184,735x = 397,097 × 397,097
  4. Step 4: Simplify right side
    184,735x = 157,686,027,409
  5. Step 5: Solve for x
    x = 157,686,027,409/184,735
  6. Step 6: Final answer
    x = 853,579.60

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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.