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Finding the Third Proportional to 156,961 and 343,584

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Solution

The third proportional to 156,961 and 343,584 is: 752,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,961 : 343,584 = 343,584 : x
  2. Step 2: Convert to fraction form
    156,961/343,584 = 343,584/x
  3. Step 3: Cross multiply
    156,961x = 343,584 × 343,584
  4. Step 4: Simplify right side
    156,961x = 118,049,965,056
  5. Step 5: Solve for x
    x = 118,049,965,056/156,961
  6. Step 6: Final answer
    x = 752,097.43

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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.