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Finding the Third Proportional to 192,819 and 296,559

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Solution

The third proportional to 192,819 and 296,559 is: 456,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,819 : 296,559 = 296,559 : x
  2. Step 2: Convert to fraction form
    192,819/296,559 = 296,559/x
  3. Step 3: Cross multiply
    192,819x = 296,559 × 296,559
  4. Step 4: Simplify right side
    192,819x = 87,947,240,481
  5. Step 5: Solve for x
    x = 87,947,240,481/192,819
  6. Step 6: Final answer
    x = 456,112.94

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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.