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Finding the Third Proportional to 149,256 and 202,662

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Solution

The third proportional to 149,256 and 202,662 is: 275,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,256 : 202,662 = 202,662 : x
  2. Step 2: Convert to fraction form
    149,256/202,662 = 202,662/x
  3. Step 3: Cross multiply
    149,256x = 202,662 × 202,662
  4. Step 4: Simplify right side
    149,256x = 41,071,886,244
  5. Step 5: Solve for x
    x = 41,071,886,244/149,256
  6. Step 6: Final answer
    x = 275,177.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.