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Finding the Third Proportional to 183,816 and 383,184

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Solution

The third proportional to 183,816 and 383,184 is: 798,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,816 : 383,184 = 383,184 : x
  2. Step 2: Convert to fraction form
    183,816/383,184 = 383,184/x
  3. Step 3: Cross multiply
    183,816x = 383,184 × 383,184
  4. Step 4: Simplify right side
    183,816x = 146,829,977,856
  5. Step 5: Solve for x
    x = 146,829,977,856/183,816
  6. Step 6: Final answer
    x = 798,787.80

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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.