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Finding the Third Proportional to 134,538 and 285,477

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Solution

The third proportional to 134,538 and 285,477 is: 605,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,538 : 285,477 = 285,477 : x
  2. Step 2: Convert to fraction form
    134,538/285,477 = 285,477/x
  3. Step 3: Cross multiply
    134,538x = 285,477 × 285,477
  4. Step 4: Simplify right side
    134,538x = 81,497,117,529
  5. Step 5: Solve for x
    x = 81,497,117,529/134,538
  6. Step 6: Final answer
    x = 605,755.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.