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Finding the Third Proportional to 164,040.75 and 341,169.75

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Solution

The third proportional to 164,040.75 and 341,169.75 is: 709,560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,040.75 : 341,169.75 = 341,169.75 : x
  2. Step 2: Convert to fraction form
    164,040.75/341,169.75 = 341,169.75/x
  3. Step 3: Cross multiply
    164,040.75x = 341,169.75 × 341,169.75
  4. Step 4: Simplify right side
    164,040.75x = 116,396,798,315.06
  5. Step 5: Solve for x
    x = 116,396,798,315.06/164,040.75
  6. Step 6: Final answer
    x = 709,560.27

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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.