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Finding the Third Proportional to 107,057.25 and 233,178.75

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Solution

The third proportional to 107,057.25 and 233,178.75 is: 507,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,057.25 : 233,178.75 = 233,178.75 : x
  2. Step 2: Convert to fraction form
    107,057.25/233,178.75 = 233,178.75/x
  3. Step 3: Cross multiply
    107,057.25x = 233,178.75 × 233,178.75
  4. Step 4: Simplify right side
    107,057.25x = 54,372,329,451.56
  5. Step 5: Solve for x
    x = 54,372,329,451.56/107,057.25
  6. Step 6: Final answer
    x = 507,880.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.