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Finding the Third Proportional to 165,738 and 354,750

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Solution

The third proportional to 165,738 and 354,750 is: 759,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,738 : 354,750 = 354,750 : x
  2. Step 2: Convert to fraction form
    165,738/354,750 = 354,750/x
  3. Step 3: Cross multiply
    165,738x = 354,750 × 354,750
  4. Step 4: Simplify right side
    165,738x = 125,847,562,500
  5. Step 5: Solve for x
    x = 125,847,562,500/165,738
  6. Step 6: Final answer
    x = 759,316.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.