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Finding the Third Proportional to 86,303.25 and 184,599

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Solution

The third proportional to 86,303.25 and 184,599 is: 394,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,303.25 : 184,599 = 184,599 : x
  2. Step 2: Convert to fraction form
    86,303.25/184,599 = 184,599/x
  3. Step 3: Cross multiply
    86,303.25x = 184,599 × 184,599
  4. Step 4: Simplify right side
    86,303.25x = 34,076,790,801
  5. Step 5: Solve for x
    x = 34,076,790,801/86,303.25
  6. Step 6: Final answer
    x = 394,849.45

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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.