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Finding the Third Proportional to 185,536 and 277,819

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Solution

The third proportional to 185,536 and 277,819 is: 416,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,536 : 277,819 = 277,819 : x
  2. Step 2: Convert to fraction form
    185,536/277,819 = 277,819/x
  3. Step 3: Cross multiply
    185,536x = 277,819 × 277,819
  4. Step 4: Simplify right side
    185,536x = 77,183,396,761
  5. Step 5: Solve for x
    x = 77,183,396,761/185,536
  6. Step 6: Final answer
    x = 416,002.27

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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.