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Finding the Third Proportional to 260,868 and 349,422

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Solution

The third proportional to 260,868 and 349,422 is: 468,036.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,868 : 349,422 = 349,422 : x
  2. Step 2: Convert to fraction form
    260,868/349,422 = 349,422/x
  3. Step 3: Cross multiply
    260,868x = 349,422 × 349,422
  4. Step 4: Simplify right side
    260,868x = 122,095,734,084
  5. Step 5: Solve for x
    x = 122,095,734,084/260,868
  6. Step 6: Final answer
    x = 468,036.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.