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Finding the Third Proportional to 160,434 and 341,512

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Solution

The third proportional to 160,434 and 341,512 is: 726,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,434 : 341,512 = 341,512 : x
  2. Step 2: Convert to fraction form
    160,434/341,512 = 341,512/x
  3. Step 3: Cross multiply
    160,434x = 341,512 × 341,512
  4. Step 4: Simplify right side
    160,434x = 116,630,446,144
  5. Step 5: Solve for x
    x = 116,630,446,144/160,434
  6. Step 6: Final answer
    x = 726,968.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.