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Finding the Third Proportional to 166,233 and 360,168

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Solution

The third proportional to 166,233 and 360,168 is: 780,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,233 : 360,168 = 360,168 : x
  2. Step 2: Convert to fraction form
    166,233/360,168 = 360,168/x
  3. Step 3: Cross multiply
    166,233x = 360,168 × 360,168
  4. Step 4: Simplify right side
    166,233x = 129,720,988,224
  5. Step 5: Solve for x
    x = 129,720,988,224/166,233
  6. Step 6: Final answer
    x = 780,356.42

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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.