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Finding the Third Proportional to 80,148 and 174,228

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Solution

The third proportional to 80,148 and 174,228 is: 378,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,148 : 174,228 = 174,228 : x
  2. Step 2: Convert to fraction form
    80,148/174,228 = 174,228/x
  3. Step 3: Cross multiply
    80,148x = 174,228 × 174,228
  4. Step 4: Simplify right side
    80,148x = 30,355,395,984
  5. Step 5: Solve for x
    x = 30,355,395,984/80,148
  6. Step 6: Final answer
    x = 378,741.78

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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.