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Finding the Third Proportional to 159,951 and 342,041

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Solution

The third proportional to 159,951 and 342,041 is: 731,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,951 : 342,041 = 342,041 : x
  2. Step 2: Convert to fraction form
    159,951/342,041 = 342,041/x
  3. Step 3: Cross multiply
    159,951x = 342,041 × 342,041
  4. Step 4: Simplify right side
    159,951x = 116,992,045,681
  5. Step 5: Solve for x
    x = 116,992,045,681/159,951
  6. Step 6: Final answer
    x = 731,424.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.