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Finding the Third Proportional to 181,884 and 392,807

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Solution

The third proportional to 181,884 and 392,807 is: 848,328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,884 : 392,807 = 392,807 : x
  2. Step 2: Convert to fraction form
    181,884/392,807 = 392,807/x
  3. Step 3: Cross multiply
    181,884x = 392,807 × 392,807
  4. Step 4: Simplify right side
    181,884x = 154,297,339,249
  5. Step 5: Solve for x
    x = 154,297,339,249/181,884
  6. Step 6: Final answer
    x = 848,328.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.