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Finding the Third Proportional to 105,426.75 and 229,572.75

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Solution

The third proportional to 105,426.75 and 229,572.75 is: 499,907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,426.75 : 229,572.75 = 229,572.75 : x
  2. Step 2: Convert to fraction form
    105,426.75/229,572.75 = 229,572.75/x
  3. Step 3: Cross multiply
    105,426.75x = 229,572.75 × 229,572.75
  4. Step 4: Simplify right side
    105,426.75x = 52,703,647,542.56
  5. Step 5: Solve for x
    x = 52,703,647,542.56/105,426.75
  6. Step 6: Final answer
    x = 499,907.73

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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.