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Finding the Third Proportional to 183,212 and 397,752

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Solution

The third proportional to 183,212 and 397,752 is: 863,516.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,212 : 397,752 = 397,752 : x
  2. Step 2: Convert to fraction form
    183,212/397,752 = 397,752/x
  3. Step 3: Cross multiply
    183,212x = 397,752 × 397,752
  4. Step 4: Simplify right side
    183,212x = 158,206,653,504
  5. Step 5: Solve for x
    x = 158,206,653,504/183,212
  6. Step 6: Final answer
    x = 863,516.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.