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Finding the Third Proportional to 69,384 and 150,348

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Solution

The third proportional to 69,384 and 150,348 is: 325,788.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,384 : 150,348 = 150,348 : x
  2. Step 2: Convert to fraction form
    69,384/150,348 = 150,348/x
  3. Step 3: Cross multiply
    69,384x = 150,348 × 150,348
  4. Step 4: Simplify right side
    69,384x = 22,604,521,104
  5. Step 5: Solve for x
    x = 22,604,521,104/69,384
  6. Step 6: Final answer
    x = 325,788.67

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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.