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Finding the Third Proportional to 223,024.13 and 333,562.50

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Solution

The third proportional to 223,024.13 and 333,562.50 is: 498,887.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,024.13 : 333,562.50 = 333,562.50 : x
  2. Step 2: Convert to fraction form
    223,024.13/333,562.50 = 333,562.50/x
  3. Step 3: Cross multiply
    223,024.13x = 333,562.50 × 333,562.50
  4. Step 4: Simplify right side
    223,024.13x = 111,263,941,406.25
  5. Step 5: Solve for x
    x = 111,263,941,406.25/223,024.13
  6. Step 6: Final answer
    x = 498,887.47

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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.