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Finding the Third Proportional to 166,824 and 347,454

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Solution

The third proportional to 166,824 and 347,454 is: 723,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,824 : 347,454 = 347,454 : x
  2. Step 2: Convert to fraction form
    166,824/347,454 = 347,454/x
  3. Step 3: Cross multiply
    166,824x = 347,454 × 347,454
  4. Step 4: Simplify right side
    166,824x = 120,724,282,116
  5. Step 5: Solve for x
    x = 120,724,282,116/166,824
  6. Step 6: Final answer
    x = 723,662.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.