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Finding the Third Proportional to 184,863 and 378,487.50

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Solution

The third proportional to 184,863 and 378,487.50 is: 774,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,863 : 378,487.50 = 378,487.50 : x
  2. Step 2: Convert to fraction form
    184,863/378,487.50 = 378,487.50/x
  3. Step 3: Cross multiply
    184,863x = 378,487.50 × 378,487.50
  4. Step 4: Simplify right side
    184,863x = 143,252,787,656.25
  5. Step 5: Solve for x
    x = 143,252,787,656.25/184,863
  6. Step 6: Final answer
    x = 774,913.25

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.