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Finding the Third Proportional to 184,154 and 403,441

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Solution

The third proportional to 184,154 and 403,441 is: 883,850.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,154 : 403,441 = 403,441 : x
  2. Step 2: Convert to fraction form
    184,154/403,441 = 403,441/x
  3. Step 3: Cross multiply
    184,154x = 403,441 × 403,441
  4. Step 4: Simplify right side
    184,154x = 162,764,640,481
  5. Step 5: Solve for x
    x = 162,764,640,481/184,154
  6. Step 6: Final answer
    x = 883,850.69

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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.