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Finding the Third Proportional to 223,024.88 and 333,563.63

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Solution

The third proportional to 223,024.88 and 333,563.63 is: 498,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,024.88 : 333,563.63 = 333,563.63 : x
  2. Step 2: Convert to fraction form
    223,024.88/333,563.63 = 333,563.63/x
  3. Step 3: Cross multiply
    223,024.88x = 333,563.63 × 333,563.63
  4. Step 4: Simplify right side
    223,024.88x = 111,264,691,923.14
  5. Step 5: Solve for x
    x = 111,264,691,923.14/223,024.88
  6. Step 6: Final answer
    x = 498,889.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.