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Finding the Third Proportional to 184,206 and 330,504

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Solution

The third proportional to 184,206 and 330,504 is: 592,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,206 : 330,504 = 330,504 : x
  2. Step 2: Convert to fraction form
    184,206/330,504 = 330,504/x
  3. Step 3: Cross multiply
    184,206x = 330,504 × 330,504
  4. Step 4: Simplify right side
    184,206x = 109,232,894,016
  5. Step 5: Solve for x
    x = 109,232,894,016/184,206
  6. Step 6: Final answer
    x = 592,993.14

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.