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Finding the Third Proportional to 167,496 and 365,064

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Solution

The third proportional to 167,496 and 365,064 is: 795,671.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,496 : 365,064 = 365,064 : x
  2. Step 2: Convert to fraction form
    167,496/365,064 = 365,064/x
  3. Step 3: Cross multiply
    167,496x = 365,064 × 365,064
  4. Step 4: Simplify right side
    167,496x = 133,271,724,096
  5. Step 5: Solve for x
    x = 133,271,724,096/167,496
  6. Step 6: Final answer
    x = 795,671.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.