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Finding the Third Proportional to 184,400.50 and 284,788.75

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Solution

The third proportional to 184,400.50 and 284,788.75 is: 439,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,400.50 : 284,788.75 = 284,788.75 : x
  2. Step 2: Convert to fraction form
    184,400.50/284,788.75 = 284,788.75/x
  3. Step 3: Cross multiply
    184,400.50x = 284,788.75 × 284,788.75
  4. Step 4: Simplify right side
    184,400.50x = 81,104,632,126.56
  5. Step 5: Solve for x
    x = 81,104,632,126.56/184,400.50
  6. Step 6: Final answer
    x = 439,828.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.