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Finding the Third Proportional to 164,043.25 and 341,181

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Solution

The third proportional to 164,043.25 and 341,181 is: 709,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,043.25 : 341,181 = 341,181 : x
  2. Step 2: Convert to fraction form
    164,043.25/341,181 = 341,181/x
  3. Step 3: Cross multiply
    164,043.25x = 341,181 × 341,181
  4. Step 4: Simplify right side
    164,043.25x = 116,404,474,761
  5. Step 5: Solve for x
    x = 116,404,474,761/164,043.25
  6. Step 6: Final answer
    x = 709,596.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.