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Finding the Third Proportional to 192,960 and 296,769

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Solution

The third proportional to 192,960 and 296,769 is: 456,425.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,960 : 296,769 = 296,769 : x
  2. Step 2: Convert to fraction form
    192,960/296,769 = 296,769/x
  3. Step 3: Cross multiply
    192,960x = 296,769 × 296,769
  4. Step 4: Simplify right side
    192,960x = 88,071,839,361
  5. Step 5: Solve for x
    x = 88,071,839,361/192,960
  6. Step 6: Final answer
    x = 456,425.37

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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.