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Finding the Third Proportional to 86,304.38 and 184,602.38

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Solution

The third proportional to 86,304.38 and 184,602.38 is: 394,858.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,304.38 : 184,602.38 = 184,602.38 : x
  2. Step 2: Convert to fraction form
    86,304.38/184,602.38 = 184,602.38/x
  3. Step 3: Cross multiply
    86,304.38x = 184,602.38 × 184,602.38
  4. Step 4: Simplify right side
    86,304.38x = 34,078,036,855.64
  5. Step 5: Solve for x
    x = 34,078,036,855.64/86,304.38
  6. Step 6: Final answer
    x = 394,858.74

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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.