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Finding the Third Proportional to 164,322 and 336,414

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Solution

The third proportional to 164,322 and 336,414 is: 688,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,322 : 336,414 = 336,414 : x
  2. Step 2: Convert to fraction form
    164,322/336,414 = 336,414/x
  3. Step 3: Cross multiply
    164,322x = 336,414 × 336,414
  4. Step 4: Simplify right side
    164,322x = 113,174,379,396
  5. Step 5: Solve for x
    x = 113,174,379,396/164,322
  6. Step 6: Final answer
    x = 688,735.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.