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Finding the Third Proportional to 69,226 and 150,460

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Solution

The third proportional to 69,226 and 150,460 is: 327,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,226 : 150,460 = 150,460 : x
  2. Step 2: Convert to fraction form
    69,226/150,460 = 150,460/x
  3. Step 3: Cross multiply
    69,226x = 150,460 × 150,460
  4. Step 4: Simplify right side
    69,226x = 22,638,211,600
  5. Step 5: Solve for x
    x = 22,638,211,600/69,226
  6. Step 6: Final answer
    x = 327,018.92

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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.