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Finding the Third Proportional to 184,191 and 407,094.50

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Solution

The third proportional to 184,191 and 407,094.50 is: 899,750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,191 : 407,094.50 = 407,094.50 : x
  2. Step 2: Convert to fraction form
    184,191/407,094.50 = 407,094.50/x
  3. Step 3: Cross multiply
    184,191x = 407,094.50 × 407,094.50
  4. Step 4: Simplify right side
    184,191x = 165,725,931,930.25
  5. Step 5: Solve for x
    x = 165,725,931,930.25/184,191
  6. Step 6: Final answer
    x = 899,750.43

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.