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Finding the Third Proportional to 220,785.75 and 350,173.13

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Solution

The third proportional to 220,785.75 and 350,173.13 is: 555,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,785.75 : 350,173.13 = 350,173.13 : x
  2. Step 2: Convert to fraction form
    220,785.75/350,173.13 = 350,173.13/x
  3. Step 3: Cross multiply
    220,785.75x = 350,173.13 × 350,173.13
  4. Step 4: Simplify right side
    220,785.75x = 122,621,217,472.27
  5. Step 5: Solve for x
    x = 122,621,217,472.27/220,785.75
  6. Step 6: Final answer
    x = 555,385.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.