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Finding the Third Proportional to 244,566.94 and 321,604.31

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Solution

The third proportional to 244,566.94 and 321,604.31 is: 422,908.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,566.94 : 321,604.31 = 321,604.31 : x
  2. Step 2: Convert to fraction form
    244,566.94/321,604.31 = 321,604.31/x
  3. Step 3: Cross multiply
    244,566.94x = 321,604.31 × 321,604.31
  4. Step 4: Simplify right side
    244,566.94x = 103,429,333,818.60
  5. Step 5: Solve for x
    x = 103,429,333,818.60/244,566.94
  6. Step 6: Final answer
    x = 422,908.08

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.