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Finding the Third Proportional to 244,572.75 and 321,610.50

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Solution

The third proportional to 244,572.75 and 321,610.50 is: 422,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,572.75 : 321,610.50 = 321,610.50 : x
  2. Step 2: Convert to fraction form
    244,572.75/321,610.50 = 321,610.50/x
  3. Step 3: Cross multiply
    244,572.75x = 321,610.50 × 321,610.50
  4. Step 4: Simplify right side
    244,572.75x = 103,433,313,710.25
  5. Step 5: Solve for x
    x = 103,433,313,710.25/244,572.75
  6. Step 6: Final answer
    x = 422,914.30

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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.