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Finding the Third Proportional to 86,284.13 and 184,562.63

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Solution

The third proportional to 86,284.13 and 184,562.63 is: 394,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,284.13 : 184,562.63 = 184,562.63 : x
  2. Step 2: Convert to fraction form
    86,284.13/184,562.63 = 184,562.63/x
  3. Step 3: Cross multiply
    86,284.13x = 184,562.63 × 184,562.63
  4. Step 4: Simplify right side
    86,284.13x = 34,063,362,546.89
  5. Step 5: Solve for x
    x = 34,063,362,546.89/86,284.13
  6. Step 6: Final answer
    x = 394,781.34

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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.