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Finding the Third Proportional to 180,414 and 408,054

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Solution

The third proportional to 180,414 and 408,054 is: 922,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,414 : 408,054 = 408,054 : x
  2. Step 2: Convert to fraction form
    180,414/408,054 = 408,054/x
  3. Step 3: Cross multiply
    180,414x = 408,054 × 408,054
  4. Step 4: Simplify right side
    180,414x = 166,508,066,916
  5. Step 5: Solve for x
    x = 166,508,066,916/180,414
  6. Step 6: Final answer
    x = 922,922.10

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.