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Finding the Third Proportional to 184,408.50 and 275,432.25

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Solution

The third proportional to 184,408.50 and 275,432.25 is: 411,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,408.50 : 275,432.25 = 275,432.25 : x
  2. Step 2: Convert to fraction form
    184,408.50/275,432.25 = 275,432.25/x
  3. Step 3: Cross multiply
    184,408.50x = 275,432.25 × 275,432.25
  4. Step 4: Simplify right side
    184,408.50x = 75,862,924,340.06
  5. Step 5: Solve for x
    x = 75,862,924,340.06/184,408.50
  6. Step 6: Final answer
    x = 411,385.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.