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Finding the Third Proportional to 113,125.50 and 234,078.75

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Solution

The third proportional to 113,125.50 and 234,078.75 is: 484,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,125.50 : 234,078.75 = 234,078.75 : x
  2. Step 2: Convert to fraction form
    113,125.50/234,078.75 = 234,078.75/x
  3. Step 3: Cross multiply
    113,125.50x = 234,078.75 × 234,078.75
  4. Step 4: Simplify right side
    113,125.50x = 54,792,861,201.56
  5. Step 5: Solve for x
    x = 54,792,861,201.56/113,125.50
  6. Step 6: Final answer
    x = 484,354.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.