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Finding the Third Proportional to 189,425 and 294,098

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Solution

The third proportional to 189,425 and 294,098 is: 456,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,425 : 294,098 = 294,098 : x
  2. Step 2: Convert to fraction form
    189,425/294,098 = 294,098/x
  3. Step 3: Cross multiply
    189,425x = 294,098 × 294,098
  4. Step 4: Simplify right side
    189,425x = 86,493,633,604
  5. Step 5: Solve for x
    x = 86,493,633,604/189,425
  6. Step 6: Final answer
    x = 456,611.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.