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Finding the Third Proportional to 117,693.75 and 259,140.75

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Solution

The third proportional to 117,693.75 and 259,140.75 is: 570,581.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,693.75 : 259,140.75 = 259,140.75 : x
  2. Step 2: Convert to fraction form
    117,693.75/259,140.75 = 259,140.75/x
  3. Step 3: Cross multiply
    117,693.75x = 259,140.75 × 259,140.75
  4. Step 4: Simplify right side
    117,693.75x = 67,153,928,310.56
  5. Step 5: Solve for x
    x = 67,153,928,310.56/117,693.75
  6. Step 6: Final answer
    x = 570,581.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.