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Finding the Third Proportional to 210,467.39 and 374,185.13

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Solution

The third proportional to 210,467.39 and 374,185.13 is: 665,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,467.39 : 374,185.13 = 374,185.13 : x
  2. Step 2: Convert to fraction form
    210,467.39/374,185.13 = 374,185.13/x
  3. Step 3: Cross multiply
    210,467.39x = 374,185.13 × 374,185.13
  4. Step 4: Simplify right side
    210,467.39x = 140,014,507,771.27
  5. Step 5: Solve for x
    x = 140,014,507,771.27/210,467.39
  6. Step 6: Final answer
    x = 665,255.11

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.