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Finding the Third Proportional to 184,995 and 398,061

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Solution

The third proportional to 184,995 and 398,061 is: 856,523.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,995 : 398,061 = 398,061 : x
  2. Step 2: Convert to fraction form
    184,995/398,061 = 398,061/x
  3. Step 3: Cross multiply
    184,995x = 398,061 × 398,061
  4. Step 4: Simplify right side
    184,995x = 158,452,559,721
  5. Step 5: Solve for x
    x = 158,452,559,721/184,995
  6. Step 6: Final answer
    x = 856,523.47

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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.