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Finding the Third Proportional to 227,182.50 and 350,250.75

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Solution

The third proportional to 227,182.50 and 350,250.75 is: 539,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,182.50 : 350,250.75 = 350,250.75 : x
  2. Step 2: Convert to fraction form
    227,182.50/350,250.75 = 350,250.75/x
  3. Step 3: Cross multiply
    227,182.50x = 350,250.75 × 350,250.75
  4. Step 4: Simplify right side
    227,182.50x = 122,675,587,875.56
  5. Step 5: Solve for x
    x = 122,675,587,875.56/227,182.50
  6. Step 6: Final answer
    x = 539,986.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.