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Finding the Third Proportional to 170,844 and 374,596

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Solution

The third proportional to 170,844 and 374,596 is: 821,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,844 : 374,596 = 374,596 : x
  2. Step 2: Convert to fraction form
    170,844/374,596 = 374,596/x
  3. Step 3: Cross multiply
    170,844x = 374,596 × 374,596
  4. Step 4: Simplify right side
    170,844x = 140,322,163,216
  5. Step 5: Solve for x
    x = 140,322,163,216/170,844
  6. Step 6: Final answer
    x = 821,346.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.