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Finding the Third Proportional to 192,823 and 296,567

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Solution

The third proportional to 192,823 and 296,567 is: 456,128.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,823 : 296,567 = 296,567 : x
  2. Step 2: Convert to fraction form
    192,823/296,567 = 296,567/x
  3. Step 3: Cross multiply
    192,823x = 296,567 × 296,567
  4. Step 4: Simplify right side
    192,823x = 87,951,985,489
  5. Step 5: Solve for x
    x = 87,951,985,489/192,823
  6. Step 6: Final answer
    x = 456,128.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.