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Finding the Third Proportional to 194,240 and 262,422

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Solution

The third proportional to 194,240 and 262,422 is: 354,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,240 : 262,422 = 262,422 : x
  2. Step 2: Convert to fraction form
    194,240/262,422 = 262,422/x
  3. Step 3: Cross multiply
    194,240x = 262,422 × 262,422
  4. Step 4: Simplify right side
    194,240x = 68,865,306,084
  5. Step 5: Solve for x
    x = 68,865,306,084/194,240
  6. Step 6: Final answer
    x = 354,537.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.