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Finding the Third Proportional to 156,797 and 344,807

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Solution

The third proportional to 156,797 and 344,807 is: 758,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,797 : 344,807 = 344,807 : x
  2. Step 2: Convert to fraction form
    156,797/344,807 = 344,807/x
  3. Step 3: Cross multiply
    156,797x = 344,807 × 344,807
  4. Step 4: Simplify right side
    156,797x = 118,891,867,249
  5. Step 5: Solve for x
    x = 118,891,867,249/156,797
  6. Step 6: Final answer
    x = 758,253.46

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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.