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Finding the Third Proportional to 203,524.75 and 299,182.75

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Solution

The third proportional to 203,524.75 and 299,182.75 is: 439,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,524.75 : 299,182.75 = 299,182.75 : x
  2. Step 2: Convert to fraction form
    203,524.75/299,182.75 = 299,182.75/x
  3. Step 3: Cross multiply
    203,524.75x = 299,182.75 × 299,182.75
  4. Step 4: Simplify right side
    203,524.75x = 89,510,317,897.56
  5. Step 5: Solve for x
    x = 89,510,317,897.56/203,524.75
  6. Step 6: Final answer
    x = 439,800.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.