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Finding the Third Proportional to 184,090 and 397,178

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Solution

The third proportional to 184,090 and 397,178 is: 856,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,090 : 397,178 = 397,178 : x
  2. Step 2: Convert to fraction form
    184,090/397,178 = 397,178/x
  3. Step 3: Cross multiply
    184,090x = 397,178 × 397,178
  4. Step 4: Simplify right side
    184,090x = 157,750,363,684
  5. Step 5: Solve for x
    x = 157,750,363,684/184,090
  6. Step 6: Final answer
    x = 856,919.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.