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Finding the Third Proportional to 290,156 and 443,568

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Solution

The third proportional to 290,156 and 443,568 is: 678,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,156 : 443,568 = 443,568 : x
  2. Step 2: Convert to fraction form
    290,156/443,568 = 443,568/x
  3. Step 3: Cross multiply
    290,156x = 443,568 × 443,568
  4. Step 4: Simplify right side
    290,156x = 196,752,570,624
  5. Step 5: Solve for x
    x = 196,752,570,624/290,156
  6. Step 6: Final answer
    x = 678,092.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.