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Finding the Third Proportional to 160,833 and 343,041

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Solution

The third proportional to 160,833 and 343,041 is: 731,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,833 : 343,041 = 343,041 : x
  2. Step 2: Convert to fraction form
    160,833/343,041 = 343,041/x
  3. Step 3: Cross multiply
    160,833x = 343,041 × 343,041
  4. Step 4: Simplify right side
    160,833x = 117,677,127,681
  5. Step 5: Solve for x
    x = 117,677,127,681/160,833
  6. Step 6: Final answer
    x = 731,672.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.