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Finding the Third Proportional to 184,056 and 270,020

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Solution

The third proportional to 184,056 and 270,020 is: 396,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,056 : 270,020 = 270,020 : x
  2. Step 2: Convert to fraction form
    184,056/270,020 = 270,020/x
  3. Step 3: Cross multiply
    184,056x = 270,020 × 270,020
  4. Step 4: Simplify right side
    184,056x = 72,910,800,400
  5. Step 5: Solve for x
    x = 72,910,800,400/184,056
  6. Step 6: Final answer
    x = 396,133.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.