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Finding the Third Proportional to 164,904 and 356,048

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Solution

The third proportional to 164,904 and 356,048 is: 768,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,904 : 356,048 = 356,048 : x
  2. Step 2: Convert to fraction form
    164,904/356,048 = 356,048/x
  3. Step 3: Cross multiply
    164,904x = 356,048 × 356,048
  4. Step 4: Simplify right side
    164,904x = 126,770,178,304
  5. Step 5: Solve for x
    x = 126,770,178,304/164,904
  6. Step 6: Final answer
    x = 768,751.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.