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Finding the Third Proportional to 184,194 and 330,480

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Solution

The third proportional to 184,194 and 330,480 is: 592,945.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,194 : 330,480 = 330,480 : x
  2. Step 2: Convert to fraction form
    184,194/330,480 = 330,480/x
  3. Step 3: Cross multiply
    184,194x = 330,480 × 330,480
  4. Step 4: Simplify right side
    184,194x = 109,217,030,400
  5. Step 5: Solve for x
    x = 109,217,030,400/184,194
  6. Step 6: Final answer
    x = 592,945.65

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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.