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Finding the Third Proportional to 69,305 and 150,265

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Solution

The third proportional to 69,305 and 150,265 is: 325,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,305 : 150,265 = 150,265 : x
  2. Step 2: Convert to fraction form
    69,305/150,265 = 150,265/x
  3. Step 3: Cross multiply
    69,305x = 150,265 × 150,265
  4. Step 4: Simplify right side
    69,305x = 22,579,570,225
  5. Step 5: Solve for x
    x = 22,579,570,225/69,305
  6. Step 6: Final answer
    x = 325,800.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.