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Finding the Third Proportional to 184,212 and 277,001

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Solution

The third proportional to 184,212 and 277,001 is: 416,528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,212 : 277,001 = 277,001 : x
  2. Step 2: Convert to fraction form
    184,212/277,001 = 277,001/x
  3. Step 3: Cross multiply
    184,212x = 277,001 × 277,001
  4. Step 4: Simplify right side
    184,212x = 76,729,554,001
  5. Step 5: Solve for x
    x = 76,729,554,001/184,212
  6. Step 6: Final answer
    x = 416,528.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.