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Finding the Third Proportional to 156,003 and 343,878

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Solution

The third proportional to 156,003 and 343,878 is: 758,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,003 : 343,878 = 343,878 : x
  2. Step 2: Convert to fraction form
    156,003/343,878 = 343,878/x
  3. Step 3: Cross multiply
    156,003x = 343,878 × 343,878
  4. Step 4: Simplify right side
    156,003x = 118,252,078,884
  5. Step 5: Solve for x
    x = 118,252,078,884/156,003
  6. Step 6: Final answer
    x = 758,011.57

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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.