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Finding the Third Proportional to 174,756 and 374,412

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Solution

The third proportional to 174,756 and 374,412 is: 802,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,756 : 374,412 = 374,412 : x
  2. Step 2: Convert to fraction form
    174,756/374,412 = 374,412/x
  3. Step 3: Cross multiply
    174,756x = 374,412 × 374,412
  4. Step 4: Simplify right side
    174,756x = 140,184,345,744
  5. Step 5: Solve for x
    x = 140,184,345,744/174,756
  6. Step 6: Final answer
    x = 802,171.86

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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.