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Finding the Third Proportional to 174,867 and 374,543

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Solution

The third proportional to 174,867 and 374,543 is: 802,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,867 : 374,543 = 374,543 : x
  2. Step 2: Convert to fraction form
    174,867/374,543 = 374,543/x
  3. Step 3: Cross multiply
    174,867x = 374,543 × 374,543
  4. Step 4: Simplify right side
    174,867x = 140,282,458,849
  5. Step 5: Solve for x
    x = 140,282,458,849/174,867
  6. Step 6: Final answer
    x = 802,223.74

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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.