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Finding the Third Proportional to 160,933 and 349,520

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Solution

The third proportional to 160,933 and 349,520 is: 759,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,933 : 349,520 = 349,520 : x
  2. Step 2: Convert to fraction form
    160,933/349,520 = 349,520/x
  3. Step 3: Cross multiply
    160,933x = 349,520 × 349,520
  4. Step 4: Simplify right side
    160,933x = 122,164,230,400
  5. Step 5: Solve for x
    x = 122,164,230,400/160,933
  6. Step 6: Final answer
    x = 759,099.94

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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.