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Finding the Third Proportional to 164,825.50 and 338,388.75

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Solution

The third proportional to 164,825.50 and 338,388.75 is: 694,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,825.50 : 338,388.75 = 338,388.75 : x
  2. Step 2: Convert to fraction form
    164,825.50/338,388.75 = 338,388.75/x
  3. Step 3: Cross multiply
    164,825.50x = 338,388.75 × 338,388.75
  4. Step 4: Simplify right side
    164,825.50x = 114,506,946,126.56
  5. Step 5: Solve for x
    x = 114,506,946,126.56/164,825.50
  6. Step 6: Final answer
    x = 694,716.21

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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.