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Finding the Third Proportional to 160,168 and 349,850

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Solution

The third proportional to 160,168 and 349,850 is: 764,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,168 : 349,850 = 349,850 : x
  2. Step 2: Convert to fraction form
    160,168/349,850 = 349,850/x
  3. Step 3: Cross multiply
    160,168x = 349,850 × 349,850
  4. Step 4: Simplify right side
    160,168x = 122,395,022,500
  5. Step 5: Solve for x
    x = 122,395,022,500/160,168
  6. Step 6: Final answer
    x = 764,166.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.