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Finding the Third Proportional to 184,434.75 and 380,369.25

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Solution

The third proportional to 184,434.75 and 380,369.25 is: 784,455.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,434.75 : 380,369.25 = 380,369.25 : x
  2. Step 2: Convert to fraction form
    184,434.75/380,369.25 = 380,369.25/x
  3. Step 3: Cross multiply
    184,434.75x = 380,369.25 × 380,369.25
  4. Step 4: Simplify right side
    184,434.75x = 144,680,766,345.56
  5. Step 5: Solve for x
    x = 144,680,766,345.56/184,434.75
  6. Step 6: Final answer
    x = 784,455.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.