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Finding the Third Proportional to 168,516 and 263,142

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Solution

The third proportional to 168,516 and 263,142 is: 410,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,516 : 263,142 = 263,142 : x
  2. Step 2: Convert to fraction form
    168,516/263,142 = 263,142/x
  3. Step 3: Cross multiply
    168,516x = 263,142 × 263,142
  4. Step 4: Simplify right side
    168,516x = 69,243,712,164
  5. Step 5: Solve for x
    x = 69,243,712,164/168,516
  6. Step 6: Final answer
    x = 410,902.89

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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.