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Finding the Third Proportional to 107,140.75 and 230,405.50

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Solution

The third proportional to 107,140.75 and 230,405.50 is: 495,485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,140.75 : 230,405.50 = 230,405.50 : x
  2. Step 2: Convert to fraction form
    107,140.75/230,405.50 = 230,405.50/x
  3. Step 3: Cross multiply
    107,140.75x = 230,405.50 × 230,405.50
  4. Step 4: Simplify right side
    107,140.75x = 53,086,694,430.25
  5. Step 5: Solve for x
    x = 53,086,694,430.25/107,140.75
  6. Step 6: Final answer
    x = 495,485.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.