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Finding the Third Proportional to 164,850.75 and 338,436

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Solution

The third proportional to 164,850.75 and 338,436 is: 694,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,850.75 : 338,436 = 338,436 : x
  2. Step 2: Convert to fraction form
    164,850.75/338,436 = 338,436/x
  3. Step 3: Cross multiply
    164,850.75x = 338,436 × 338,436
  4. Step 4: Simplify right side
    164,850.75x = 114,538,926,096
  5. Step 5: Solve for x
    x = 114,538,926,096/164,850.75
  6. Step 6: Final answer
    x = 694,803.79

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