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Finding the Third Proportional to 107,783.50 and 222,485

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Solution

The third proportional to 107,783.50 and 222,485 is: 459,250.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,783.50 : 222,485 = 222,485 : x
  2. Step 2: Convert to fraction form
    107,783.50/222,485 = 222,485/x
  3. Step 3: Cross multiply
    107,783.50x = 222,485 × 222,485
  4. Step 4: Simplify right side
    107,783.50x = 49,499,575,225
  5. Step 5: Solve for x
    x = 49,499,575,225/107,783.50
  6. Step 6: Final answer
    x = 459,250.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.