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Finding the Third Proportional to 184,209.19 and 403,486.31

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Solution

The third proportional to 184,209.19 and 403,486.31 is: 883,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,209.19 : 403,486.31 = 403,486.31 : x
  2. Step 2: Convert to fraction form
    184,209.19/403,486.31 = 403,486.31/x
  3. Step 3: Cross multiply
    184,209.19x = 403,486.31 × 403,486.31
  4. Step 4: Simplify right side
    184,209.19x = 162,801,204,374.85
  5. Step 5: Solve for x
    x = 162,801,204,374.85/184,209.19
  6. Step 6: Final answer
    x = 883,784.39

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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.