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Finding the Third Proportional to 182,104 and 397,416

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Solution

The third proportional to 182,104 and 397,416 is: 867,303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,104 : 397,416 = 397,416 : x
  2. Step 2: Convert to fraction form
    182,104/397,416 = 397,416/x
  3. Step 3: Cross multiply
    182,104x = 397,416 × 397,416
  4. Step 4: Simplify right side
    182,104x = 157,939,477,056
  5. Step 5: Solve for x
    x = 157,939,477,056/182,104
  6. Step 6: Final answer
    x = 867,303.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.