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Finding the Third Proportional to 180,106 and 416,912

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Solution

The third proportional to 180,106 and 416,912 is: 965,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,106 : 416,912 = 416,912 : x
  2. Step 2: Convert to fraction form
    180,106/416,912 = 416,912/x
  3. Step 3: Cross multiply
    180,106x = 416,912 × 416,912
  4. Step 4: Simplify right side
    180,106x = 173,815,615,744
  5. Step 5: Solve for x
    x = 173,815,615,744/180,106
  6. Step 6: Final answer
    x = 965,073.99

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.