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Finding the Third Proportional to 160,733 and 349,148

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Solution

The third proportional to 160,733 and 349,148 is: 758,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,733 : 349,148 = 349,148 : x
  2. Step 2: Convert to fraction form
    160,733/349,148 = 349,148/x
  3. Step 3: Cross multiply
    160,733x = 349,148 × 349,148
  4. Step 4: Simplify right side
    160,733x = 121,904,325,904
  5. Step 5: Solve for x
    x = 121,904,325,904/160,733
  6. Step 6: Final answer
    x = 758,427.49

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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.