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Finding the Third Proportional to 180,927 and 397,323

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Solution

The third proportional to 180,927 and 397,323 is: 872,537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,927 : 397,323 = 397,323 : x
  2. Step 2: Convert to fraction form
    180,927/397,323 = 397,323/x
  3. Step 3: Cross multiply
    180,927x = 397,323 × 397,323
  4. Step 4: Simplify right side
    180,927x = 157,865,566,329
  5. Step 5: Solve for x
    x = 157,865,566,329/180,927
  6. Step 6: Final answer
    x = 872,537.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.