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Finding the Third Proportional to 268,004 and 363,976

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Solution

The third proportional to 268,004 and 363,976 is: 494,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,004 : 363,976 = 363,976 : x
  2. Step 2: Convert to fraction form
    268,004/363,976 = 363,976/x
  3. Step 3: Cross multiply
    268,004x = 363,976 × 363,976
  4. Step 4: Simplify right side
    268,004x = 132,478,528,576
  5. Step 5: Solve for x
    x = 132,478,528,576/268,004
  6. Step 6: Final answer
    x = 494,315.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.