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Finding the Third Proportional to 86,400 and 184,784

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Solution

The third proportional to 86,400 and 184,784 is: 395,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,400 : 184,784 = 184,784 : x
  2. Step 2: Convert to fraction form
    86,400/184,784 = 184,784/x
  3. Step 3: Cross multiply
    86,400x = 184,784 × 184,784
  4. Step 4: Simplify right side
    86,400x = 34,145,126,656
  5. Step 5: Solve for x
    x = 34,145,126,656/86,400
  6. Step 6: Final answer
    x = 395,198.23

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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.