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Finding the Third Proportional to 164,740 and 335,308

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Solution

The third proportional to 164,740 and 335,308 is: 682,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,740 : 335,308 = 335,308 : x
  2. Step 2: Convert to fraction form
    164,740/335,308 = 335,308/x
  3. Step 3: Cross multiply
    164,740x = 335,308 × 335,308
  4. Step 4: Simplify right side
    164,740x = 112,431,454,864
  5. Step 5: Solve for x
    x = 112,431,454,864/164,740
  6. Step 6: Final answer
    x = 682,478.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.