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Finding the Third Proportional to 202,378.50 and 444,123

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Solution

The third proportional to 202,378.50 and 444,123 is: 974,635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,378.50 : 444,123 = 444,123 : x
  2. Step 2: Convert to fraction form
    202,378.50/444,123 = 444,123/x
  3. Step 3: Cross multiply
    202,378.50x = 444,123 × 444,123
  4. Step 4: Simplify right side
    202,378.50x = 197,245,239,129
  5. Step 5: Solve for x
    x = 197,245,239,129/202,378.50
  6. Step 6: Final answer
    x = 974,635.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.