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Finding the Third Proportional to 156,798 and 344,811

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Solution

The third proportional to 156,798 and 344,811 is: 758,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,798 : 344,811 = 344,811 : x
  2. Step 2: Convert to fraction form
    156,798/344,811 = 344,811/x
  3. Step 3: Cross multiply
    156,798x = 344,811 × 344,811
  4. Step 4: Simplify right side
    156,798x = 118,894,625,721
  5. Step 5: Solve for x
    x = 118,894,625,721/156,798
  6. Step 6: Final answer
    x = 758,266.21

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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.