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Finding the Third Proportional to 223,201.50 and 481,686

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Solution

The third proportional to 223,201.50 and 481,686 is: 1,039,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,201.50 : 481,686 = 481,686 : x
  2. Step 2: Convert to fraction form
    223,201.50/481,686 = 481,686/x
  3. Step 3: Cross multiply
    223,201.50x = 481,686 × 481,686
  4. Step 4: Simplify right side
    223,201.50x = 232,021,402,596
  5. Step 5: Solve for x
    x = 232,021,402,596/223,201.50
  6. Step 6: Final answer
    x = 1,039,515.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.