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Finding the Third Proportional to 189,365 and 284,538

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Solution

The third proportional to 189,365 and 284,538 is: 427,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,365 : 284,538 = 284,538 : x
  2. Step 2: Convert to fraction form
    189,365/284,538 = 284,538/x
  3. Step 3: Cross multiply
    189,365x = 284,538 × 284,538
  4. Step 4: Simplify right side
    189,365x = 80,961,873,444
  5. Step 5: Solve for x
    x = 80,961,873,444/189,365
  6. Step 6: Final answer
    x = 427,544.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.