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Finding the Third Proportional to 164,969 and 361,467

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Solution

The third proportional to 164,969 and 361,467 is: 792,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,969 : 361,467 = 361,467 : x
  2. Step 2: Convert to fraction form
    164,969/361,467 = 361,467/x
  3. Step 3: Cross multiply
    164,969x = 361,467 × 361,467
  4. Step 4: Simplify right side
    164,969x = 130,658,392,089
  5. Step 5: Solve for x
    x = 130,658,392,089/164,969
  6. Step 6: Final answer
    x = 792,017.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.