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Finding the Third Proportional to 184,906 and 378,574

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Solution

The third proportional to 184,906 and 378,574 is: 775,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,906 : 378,574 = 378,574 : x
  2. Step 2: Convert to fraction form
    184,906/378,574 = 378,574/x
  3. Step 3: Cross multiply
    184,906x = 378,574 × 378,574
  4. Step 4: Simplify right side
    184,906x = 143,318,273,476
  5. Step 5: Solve for x
    x = 143,318,273,476/184,906
  6. Step 6: Final answer
    x = 775,087.20

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Why These Related Problems?

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