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Finding the Third Proportional to 223,187.91 and 333,414.98

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Solution

The third proportional to 223,187.91 and 333,414.98 is: 498,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,187.91 : 333,414.98 = 333,414.98 : x
  2. Step 2: Convert to fraction form
    223,187.91/333,414.98 = 333,414.98/x
  3. Step 3: Cross multiply
    223,187.91x = 333,414.98 × 333,414.98
  4. Step 4: Simplify right side
    223,187.91x = 111,165,551,805.78
  5. Step 5: Solve for x
    x = 111,165,551,805.78/223,187.91
  6. Step 6: Final answer
    x = 498,080.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.