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Finding the Third Proportional to 184,495 and 400,975

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Solution

The third proportional to 184,495 and 400,975 is: 871,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,495 : 400,975 = 400,975 : x
  2. Step 2: Convert to fraction form
    184,495/400,975 = 400,975/x
  3. Step 3: Cross multiply
    184,495x = 400,975 × 400,975
  4. Step 4: Simplify right side
    184,495x = 160,780,950,625
  5. Step 5: Solve for x
    x = 160,780,950,625/184,495
  6. Step 6: Final answer
    x = 871,465.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.