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Finding the Third Proportional to 170,014 and 262,336

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Solution

The third proportional to 170,014 and 262,336 is: 404,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,014 : 262,336 = 262,336 : x
  2. Step 2: Convert to fraction form
    170,014/262,336 = 262,336/x
  3. Step 3: Cross multiply
    170,014x = 262,336 × 262,336
  4. Step 4: Simplify right side
    170,014x = 68,820,176,896
  5. Step 5: Solve for x
    x = 68,820,176,896/170,014
  6. Step 6: Final answer
    x = 404,791.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.