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Finding the Third Proportional to 86,444 and 184,864

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Solution

The third proportional to 86,444 and 184,864 is: 395,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,444 : 184,864 = 184,864 : x
  2. Step 2: Convert to fraction form
    86,444/184,864 = 184,864/x
  3. Step 3: Cross multiply
    86,444x = 184,864 × 184,864
  4. Step 4: Simplify right side
    86,444x = 34,174,698,496
  5. Step 5: Solve for x
    x = 34,174,698,496/86,444
  6. Step 6: Final answer
    x = 395,339.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.