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Finding the Third Proportional to 164,969 and 332,496

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Solution

The third proportional to 164,969 and 332,496 is: 670,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,969 : 332,496 = 332,496 : x
  2. Step 2: Convert to fraction form
    164,969/332,496 = 332,496/x
  3. Step 3: Cross multiply
    164,969x = 332,496 × 332,496
  4. Step 4: Simplify right side
    164,969x = 110,553,590,016
  5. Step 5: Solve for x
    x = 110,553,590,016/164,969
  6. Step 6: Final answer
    x = 670,147.66

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.