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Finding the Third Proportional to 184,297.50 and 278,137

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Solution

The third proportional to 184,297.50 and 278,137 is: 419,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,297.50 : 278,137 = 278,137 : x
  2. Step 2: Convert to fraction form
    184,297.50/278,137 = 278,137/x
  3. Step 3: Cross multiply
    184,297.50x = 278,137 × 278,137
  4. Step 4: Simplify right side
    184,297.50x = 77,360,190,769
  5. Step 5: Solve for x
    x = 77,360,190,769/184,297.50
  6. Step 6: Final answer
    x = 419,757.14

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Why These Related Problems?

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