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Finding the Third Proportional to 183,644 and 383,893

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Solution

The third proportional to 183,644 and 383,893 is: 802,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,644 : 383,893 = 383,893 : x
  2. Step 2: Convert to fraction form
    183,644/383,893 = 383,893/x
  3. Step 3: Cross multiply
    183,644x = 383,893 × 383,893
  4. Step 4: Simplify right side
    183,644x = 147,373,835,449
  5. Step 5: Solve for x
    x = 147,373,835,449/183,644
  6. Step 6: Final answer
    x = 802,497.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.