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Finding the Third Proportional to 179,168 and 271,046

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Solution

The third proportional to 179,168 and 271,046 is: 410,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,168 : 271,046 = 271,046 : x
  2. Step 2: Convert to fraction form
    179,168/271,046 = 271,046/x
  3. Step 3: Cross multiply
    179,168x = 271,046 × 271,046
  4. Step 4: Simplify right side
    179,168x = 73,465,934,116
  5. Step 5: Solve for x
    x = 73,465,934,116/179,168
  6. Step 6: Final answer
    x = 410,039.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.