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Finding the Third Proportional to 268,636 and 365,056

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Solution

The third proportional to 268,636 and 365,056 is: 496,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,636 : 365,056 = 365,056 : x
  2. Step 2: Convert to fraction form
    268,636/365,056 = 365,056/x
  3. Step 3: Cross multiply
    268,636x = 365,056 × 365,056
  4. Step 4: Simplify right side
    268,636x = 133,265,883,136
  5. Step 5: Solve for x
    x = 133,265,883,136/268,636
  6. Step 6: Final answer
    x = 496,083.49

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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.