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Finding the Third Proportional to 69,038 and 150,998

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Solution

The third proportional to 69,038 and 150,998 is: 330,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,038 : 150,998 = 150,998 : x
  2. Step 2: Convert to fraction form
    69,038/150,998 = 150,998/x
  3. Step 3: Cross multiply
    69,038x = 150,998 × 150,998
  4. Step 4: Simplify right side
    69,038x = 22,800,396,004
  5. Step 5: Solve for x
    x = 22,800,396,004/69,038
  6. Step 6: Final answer
    x = 330,258.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.