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Finding the Third Proportional to 107,628 and 234,928.50

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Solution

The third proportional to 107,628 and 234,928.50 is: 512,797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,628 : 234,928.50 = 234,928.50 : x
  2. Step 2: Convert to fraction form
    107,628/234,928.50 = 234,928.50/x
  3. Step 3: Cross multiply
    107,628x = 234,928.50 × 234,928.50
  4. Step 4: Simplify right side
    107,628x = 55,191,400,112.25
  5. Step 5: Solve for x
    x = 55,191,400,112.25/107,628
  6. Step 6: Final answer
    x = 512,797.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.