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Finding the Third Proportional to 156,634 and 343,886

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Solution

The third proportional to 156,634 and 343,886 is: 754,993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,634 : 343,886 = 343,886 : x
  2. Step 2: Convert to fraction form
    156,634/343,886 = 343,886/x
  3. Step 3: Cross multiply
    156,634x = 343,886 × 343,886
  4. Step 4: Simplify right side
    156,634x = 118,257,580,996
  5. Step 5: Solve for x
    x = 118,257,580,996/156,634
  6. Step 6: Final answer
    x = 754,993.05

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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.