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Finding the Third Proportional to 184,172 and 403,477

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Solution

The third proportional to 184,172 and 403,477 is: 883,922.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,172 : 403,477 = 403,477 : x
  2. Step 2: Convert to fraction form
    184,172/403,477 = 403,477/x
  3. Step 3: Cross multiply
    184,172x = 403,477 × 403,477
  4. Step 4: Simplify right side
    184,172x = 162,793,689,529
  5. Step 5: Solve for x
    x = 162,793,689,529/184,172
  6. Step 6: Final answer
    x = 883,922.04

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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.