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Finding the Third Proportional to 102,450 and 209,958

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Solution

The third proportional to 102,450 and 209,958 is: 430,281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,450 : 209,958 = 209,958 : x
  2. Step 2: Convert to fraction form
    102,450/209,958 = 209,958/x
  3. Step 3: Cross multiply
    102,450x = 209,958 × 209,958
  4. Step 4: Simplify right side
    102,450x = 44,082,361,764
  5. Step 5: Solve for x
    x = 44,082,361,764/102,450
  6. Step 6: Final answer
    x = 430,281.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.