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Finding the Third Proportional to 160,774 and 343,694

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Solution

The third proportional to 160,774 and 343,694 is: 734,730.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,774 : 343,694 = 343,694 : x
  2. Step 2: Convert to fraction form
    160,774/343,694 = 343,694/x
  3. Step 3: Cross multiply
    160,774x = 343,694 × 343,694
  4. Step 4: Simplify right side
    160,774x = 118,125,565,636
  5. Step 5: Solve for x
    x = 118,125,565,636/160,774
  6. Step 6: Final answer
    x = 734,730.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.