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Finding the Third Proportional to 86,302.50 and 184,599.38

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Solution

The third proportional to 86,302.50 and 184,599.38 is: 394,854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,302.50 : 184,599.38 = 184,599.38 : x
  2. Step 2: Convert to fraction form
    86,302.50/184,599.38 = 184,599.38/x
  3. Step 3: Cross multiply
    86,302.50x = 184,599.38 × 184,599.38
  4. Step 4: Simplify right side
    86,302.50x = 34,076,929,250.39
  5. Step 5: Solve for x
    x = 34,076,929,250.39/86,302.50
  6. Step 6: Final answer
    x = 394,854.49

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