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Finding the Third Proportional to 184,399.50 and 278,295

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Solution

The third proportional to 184,399.50 and 278,295 is: 420,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,399.50 : 278,295 = 278,295 : x
  2. Step 2: Convert to fraction form
    184,399.50/278,295 = 278,295/x
  3. Step 3: Cross multiply
    184,399.50x = 278,295 × 278,295
  4. Step 4: Simplify right side
    184,399.50x = 77,448,107,025
  5. Step 5: Solve for x
    x = 77,448,107,025/184,399.50
  6. Step 6: Final answer
    x = 420,001.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.