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Finding the Third Proportional to 171,824 and 368,280

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Solution

The third proportional to 171,824 and 368,280 is: 789,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,824 : 368,280 = 368,280 : x
  2. Step 2: Convert to fraction form
    171,824/368,280 = 368,280/x
  3. Step 3: Cross multiply
    171,824x = 368,280 × 368,280
  4. Step 4: Simplify right side
    171,824x = 135,630,158,400
  5. Step 5: Solve for x
    x = 135,630,158,400/171,824
  6. Step 6: Final answer
    x = 789,355.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.