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Finding the Third Proportional to 184,290 and 277,733.25

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Solution

The third proportional to 184,290 and 277,733.25 is: 418,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,290 : 277,733.25 = 277,733.25 : x
  2. Step 2: Convert to fraction form
    184,290/277,733.25 = 277,733.25/x
  3. Step 3: Cross multiply
    184,290x = 277,733.25 × 277,733.25
  4. Step 4: Simplify right side
    184,290x = 77,135,758,155.56
  5. Step 5: Solve for x
    x = 77,135,758,155.56/184,290
  6. Step 6: Final answer
    x = 418,556.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.