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Finding the Third Proportional to 109,581.75 and 263,270.25

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Solution

The third proportional to 109,581.75 and 263,270.25 is: 632,507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,581.75 : 263,270.25 = 263,270.25 : x
  2. Step 2: Convert to fraction form
    109,581.75/263,270.25 = 263,270.25/x
  3. Step 3: Cross multiply
    109,581.75x = 263,270.25 × 263,270.25
  4. Step 4: Simplify right side
    109,581.75x = 69,311,224,535.06
  5. Step 5: Solve for x
    x = 69,311,224,535.06/109,581.75
  6. Step 6: Final answer
    x = 632,507.01

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.