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Finding the Third Proportional to 174,764.25 and 374,429.25

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Solution

The third proportional to 174,764.25 and 374,429.25 is: 802,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,764.25 : 374,429.25 = 374,429.25 : x
  2. Step 2: Convert to fraction form
    174,764.25/374,429.25 = 374,429.25/x
  3. Step 3: Cross multiply
    174,764.25x = 374,429.25 × 374,429.25
  4. Step 4: Simplify right side
    174,764.25x = 140,197,263,255.56
  5. Step 5: Solve for x
    x = 140,197,263,255.56/174,764.25
  6. Step 6: Final answer
    x = 802,207.91

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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.