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Finding the Third Proportional to 160,755 and 349,183.50

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Solution

The third proportional to 160,755 and 349,183.50 is: 758,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,755 : 349,183.50 = 349,183.50 : x
  2. Step 2: Convert to fraction form
    160,755/349,183.50 = 349,183.50/x
  3. Step 3: Cross multiply
    160,755x = 349,183.50 × 349,183.50
  4. Step 4: Simplify right side
    160,755x = 121,929,116,672.25
  5. Step 5: Solve for x
    x = 121,929,116,672.25/160,755
  6. Step 6: Final answer
    x = 758,477.91

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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.