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Finding the Third Proportional to 156,791 and 344,797

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Solution

The third proportional to 156,791 and 344,797 is: 758,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,791 : 344,797 = 344,797 : x
  2. Step 2: Convert to fraction form
    156,791/344,797 = 344,797/x
  3. Step 3: Cross multiply
    156,791x = 344,797 × 344,797
  4. Step 4: Simplify right side
    156,791x = 118,884,971,209
  5. Step 5: Solve for x
    x = 118,884,971,209/156,791
  6. Step 6: Final answer
    x = 758,238.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.