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Finding the Third Proportional to 161,144 and 349,072

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Solution

The third proportional to 161,144 and 349,072 is: 756,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,144 : 349,072 = 349,072 : x
  2. Step 2: Convert to fraction form
    161,144/349,072 = 349,072/x
  3. Step 3: Cross multiply
    161,144x = 349,072 × 349,072
  4. Step 4: Simplify right side
    161,144x = 121,851,261,184
  5. Step 5: Solve for x
    x = 121,851,261,184/161,144
  6. Step 6: Final answer
    x = 756,163.81

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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.