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Finding the Third Proportional to 184,071 and 389,359.50

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Solution

The third proportional to 184,071 and 389,359.50 is: 823,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,071 : 389,359.50 = 389,359.50 : x
  2. Step 2: Convert to fraction form
    184,071/389,359.50 = 389,359.50/x
  3. Step 3: Cross multiply
    184,071x = 389,359.50 × 389,359.50
  4. Step 4: Simplify right side
    184,071x = 151,600,820,240.25
  5. Step 5: Solve for x
    x = 151,600,820,240.25/184,071
  6. Step 6: Final answer
    x = 823,599.70

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.