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Finding the Third Proportional to 184,584.38 and 403,331.63

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Solution

The third proportional to 184,584.38 and 403,331.63 is: 881,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,584.38 : 403,331.63 = 403,331.63 : x
  2. Step 2: Convert to fraction form
    184,584.38/403,331.63 = 403,331.63/x
  3. Step 3: Cross multiply
    184,584.38x = 403,331.63 × 403,331.63
  4. Step 4: Simplify right side
    184,584.38x = 162,676,399,725.14
  5. Step 5: Solve for x
    x = 162,676,399,725.14/184,584.38
  6. Step 6: Final answer
    x = 881,311.86

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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.