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Finding the Third Proportional to 185,110 and 277,176

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Solution

The third proportional to 185,110 and 277,176 is: 415,031.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,110 : 277,176 = 277,176 : x
  2. Step 2: Convert to fraction form
    185,110/277,176 = 277,176/x
  3. Step 3: Cross multiply
    185,110x = 277,176 × 277,176
  4. Step 4: Simplify right side
    185,110x = 76,826,534,976
  5. Step 5: Solve for x
    x = 76,826,534,976/185,110
  6. Step 6: Final answer
    x = 415,031.79

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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.