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Finding the Third Proportional to 183,396 and 388,872

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Solution

The third proportional to 183,396 and 388,872 is: 824,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,396 : 388,872 = 388,872 : x
  2. Step 2: Convert to fraction form
    183,396/388,872 = 388,872/x
  3. Step 3: Cross multiply
    183,396x = 388,872 × 388,872
  4. Step 4: Simplify right side
    183,396x = 151,221,432,384
  5. Step 5: Solve for x
    x = 151,221,432,384/183,396
  6. Step 6: Final answer
    x = 824,562.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.