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Finding the Third Proportional to 107,345.25 and 262,986.75

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Solution

The third proportional to 107,345.25 and 262,986.75 is: 644,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,345.25 : 262,986.75 = 262,986.75 : x
  2. Step 2: Convert to fraction form
    107,345.25/262,986.75 = 262,986.75/x
  3. Step 3: Cross multiply
    107,345.25x = 262,986.75 × 262,986.75
  4. Step 4: Simplify right side
    107,345.25x = 69,162,030,675.56
  5. Step 5: Solve for x
    x = 69,162,030,675.56/107,345.25
  6. Step 6: Final answer
    x = 644,295.21

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.