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Finding the Third Proportional to 168,868 and 263,526

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Solution

The third proportional to 168,868 and 263,526 is: 411,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,868 : 263,526 = 263,526 : x
  2. Step 2: Convert to fraction form
    168,868/263,526 = 263,526/x
  3. Step 3: Cross multiply
    168,868x = 263,526 × 263,526
  4. Step 4: Simplify right side
    168,868x = 69,445,952,676
  5. Step 5: Solve for x
    x = 69,445,952,676/168,868
  6. Step 6: Final answer
    x = 411,244.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.