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Finding the Third Proportional to 165,456 and 347,112

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Solution

The third proportional to 165,456 and 347,112 is: 728,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,456 : 347,112 = 347,112 : x
  2. Step 2: Convert to fraction form
    165,456/347,112 = 347,112/x
  3. Step 3: Cross multiply
    165,456x = 347,112 × 347,112
  4. Step 4: Simplify right side
    165,456x = 120,486,740,544
  5. Step 5: Solve for x
    x = 120,486,740,544/165,456
  6. Step 6: Final answer
    x = 728,210.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.