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Finding the Third Proportional to 156,934 and 343,012

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Solution

The third proportional to 156,934 and 343,012 is: 749,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,934 : 343,012 = 343,012 : x
  2. Step 2: Convert to fraction form
    156,934/343,012 = 343,012/x
  3. Step 3: Cross multiply
    156,934x = 343,012 × 343,012
  4. Step 4: Simplify right side
    156,934x = 117,657,232,144
  5. Step 5: Solve for x
    x = 117,657,232,144/156,934
  6. Step 6: Final answer
    x = 749,724.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.