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Finding the Third Proportional to 205,123.50 and 443,052

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Solution

The third proportional to 205,123.50 and 443,052 is: 956,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,123.50 : 443,052 = 443,052 : x
  2. Step 2: Convert to fraction form
    205,123.50/443,052 = 443,052/x
  3. Step 3: Cross multiply
    205,123.50x = 443,052 × 443,052
  4. Step 4: Simplify right side
    205,123.50x = 196,295,074,704
  5. Step 5: Solve for x
    x = 196,295,074,704/205,123.50
  6. Step 6: Final answer
    x = 956,960.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.