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Finding the Third Proportional to 86,812.50 and 184,288.50

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Solution

The third proportional to 86,812.50 and 184,288.50 is: 391,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,812.50 : 184,288.50 = 184,288.50 : x
  2. Step 2: Convert to fraction form
    86,812.50/184,288.50 = 184,288.50/x
  3. Step 3: Cross multiply
    86,812.50x = 184,288.50 × 184,288.50
  4. Step 4: Simplify right side
    86,812.50x = 33,962,251,232.25
  5. Step 5: Solve for x
    x = 33,962,251,232.25/86,812.50
  6. Step 6: Final answer
    x = 391,213.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.