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Finding the Third Proportional to 184,513 and 275,345

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Solution

The third proportional to 184,513 and 275,345 is: 410,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,513 : 275,345 = 275,345 : x
  2. Step 2: Convert to fraction form
    184,513/275,345 = 275,345/x
  3. Step 3: Cross multiply
    184,513x = 275,345 × 275,345
  4. Step 4: Simplify right side
    184,513x = 75,814,869,025
  5. Step 5: Solve for x
    x = 75,814,869,025/184,513
  6. Step 6: Final answer
    x = 410,891.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.