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Finding the Third Proportional to 167,969 and 365,460

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Solution

The third proportional to 167,969 and 365,460 is: 795,152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,969 : 365,460 = 365,460 : x
  2. Step 2: Convert to fraction form
    167,969/365,460 = 365,460/x
  3. Step 3: Cross multiply
    167,969x = 365,460 × 365,460
  4. Step 4: Simplify right side
    167,969x = 133,561,011,600
  5. Step 5: Solve for x
    x = 133,561,011,600/167,969
  6. Step 6: Final answer
    x = 795,152.75

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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.