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Finding the Third Proportional to 147,161 and 227,816

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Solution

The third proportional to 147,161 and 227,816 is: 352,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,161 : 227,816 = 227,816 : x
  2. Step 2: Convert to fraction form
    147,161/227,816 = 227,816/x
  3. Step 3: Cross multiply
    147,161x = 227,816 × 227,816
  4. Step 4: Simplify right side
    147,161x = 51,900,129,856
  5. Step 5: Solve for x
    x = 51,900,129,856/147,161
  6. Step 6: Final answer
    x = 352,675.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.