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Finding the Third Proportional to 150,479 and 199,758

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Solution

The third proportional to 150,479 and 199,758 is: 265,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,479 : 199,758 = 199,758 : x
  2. Step 2: Convert to fraction form
    150,479/199,758 = 199,758/x
  3. Step 3: Cross multiply
    150,479x = 199,758 × 199,758
  4. Step 4: Simplify right side
    150,479x = 39,903,258,564
  5. Step 5: Solve for x
    x = 39,903,258,564/150,479
  6. Step 6: Final answer
    x = 265,174.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.