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Finding the Third Proportional to 184,686 and 398,532

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Solution

The third proportional to 184,686 and 398,532 is: 859,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,686 : 398,532 = 398,532 : x
  2. Step 2: Convert to fraction form
    184,686/398,532 = 398,532/x
  3. Step 3: Cross multiply
    184,686x = 398,532 × 398,532
  4. Step 4: Simplify right side
    184,686x = 158,827,755,024
  5. Step 5: Solve for x
    x = 158,827,755,024/184,686
  6. Step 6: Final answer
    x = 859,988.06

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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.