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Finding the Third Proportional to 172,994.06 and 374,419.13

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Solution

The third proportional to 172,994.06 and 374,419.13 is: 810,372.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,994.06 : 374,419.13 = 374,419.13 : x
  2. Step 2: Convert to fraction form
    172,994.06/374,419.13 = 374,419.13/x
  3. Step 3: Cross multiply
    172,994.06x = 374,419.13 × 374,419.13
  4. Step 4: Simplify right side
    172,994.06x = 140,189,681,165.77
  5. Step 5: Solve for x
    x = 140,189,681,165.77/172,994.06
  6. Step 6: Final answer
    x = 810,372.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.