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Finding the Third Proportional to 160,746 and 349,173

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Solution

The third proportional to 160,746 and 349,173 is: 758,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,746 : 349,173 = 349,173 : x
  2. Step 2: Convert to fraction form
    160,746/349,173 = 349,173/x
  3. Step 3: Cross multiply
    160,746x = 349,173 × 349,173
  4. Step 4: Simplify right side
    160,746x = 121,921,783,929
  5. Step 5: Solve for x
    x = 121,921,783,929/160,746
  6. Step 6: Final answer
    x = 758,474.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.