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Finding the Third Proportional to 98,268 and 148,338

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Solution

The third proportional to 98,268 and 148,338 is: 223,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,268 : 148,338 = 148,338 : x
  2. Step 2: Convert to fraction form
    98,268/148,338 = 148,338/x
  3. Step 3: Cross multiply
    98,268x = 148,338 × 148,338
  4. Step 4: Simplify right side
    98,268x = 22,004,162,244
  5. Step 5: Solve for x
    x = 22,004,162,244/98,268
  6. Step 6: Final answer
    x = 223,919.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.