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Finding the Third Proportional to 183,820 and 383,192

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Solution

The third proportional to 183,820 and 383,192 is: 798,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,820 : 383,192 = 383,192 : x
  2. Step 2: Convert to fraction form
    183,820/383,192 = 383,192/x
  3. Step 3: Cross multiply
    183,820x = 383,192 × 383,192
  4. Step 4: Simplify right side
    183,820x = 146,836,108,864
  5. Step 5: Solve for x
    x = 146,836,108,864/183,820
  6. Step 6: Final answer
    x = 798,803.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.