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Finding the Third Proportional to 184,149 and 403,431

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Solution

The third proportional to 184,149 and 403,431 is: 883,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,149 : 403,431 = 403,431 : x
  2. Step 2: Convert to fraction form
    184,149/403,431 = 403,431/x
  3. Step 3: Cross multiply
    184,149x = 403,431 × 403,431
  4. Step 4: Simplify right side
    184,149x = 162,756,571,761
  5. Step 5: Solve for x
    x = 162,756,571,761/184,149
  6. Step 6: Final answer
    x = 883,830.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.