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Finding the Third Proportional to 184,214 and 403,496

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Solution

The third proportional to 184,214 and 403,496 is: 883,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,214 : 403,496 = 403,496 : x
  2. Step 2: Convert to fraction form
    184,214/403,496 = 403,496/x
  3. Step 3: Cross multiply
    184,214x = 403,496 × 403,496
  4. Step 4: Simplify right side
    184,214x = 162,809,022,016
  5. Step 5: Solve for x
    x = 162,809,022,016/184,214
  6. Step 6: Final answer
    x = 883,803.74

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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.