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Finding the Third Proportional to 184,034 and 397,066

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Solution

The third proportional to 184,034 and 397,066 is: 856,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,034 : 397,066 = 397,066 : x
  2. Step 2: Convert to fraction form
    184,034/397,066 = 397,066/x
  3. Step 3: Cross multiply
    184,034x = 397,066 × 397,066
  4. Step 4: Simplify right side
    184,034x = 157,661,408,356
  5. Step 5: Solve for x
    x = 157,661,408,356/184,034
  6. Step 6: Final answer
    x = 856,697.18

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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.