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Finding the Third Proportional to 202,050.56 and 294,190.88

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Solution

The third proportional to 202,050.56 and 294,190.88 is: 428,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,050.56 : 294,190.88 = 294,190.88 : x
  2. Step 2: Convert to fraction form
    202,050.56/294,190.88 = 294,190.88/x
  3. Step 3: Cross multiply
    202,050.56x = 294,190.88 × 294,190.88
  4. Step 4: Simplify right side
    202,050.56x = 86,548,270,933.27
  5. Step 5: Solve for x
    x = 86,548,270,933.27/202,050.56
  6. Step 6: Final answer
    x = 428,349.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.