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Finding the Third Proportional to 168,870 and 263,529

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Solution

The third proportional to 168,870 and 263,529 is: 411,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,870 : 263,529 = 263,529 : x
  2. Step 2: Convert to fraction form
    168,870/263,529 = 263,529/x
  3. Step 3: Cross multiply
    168,870x = 263,529 × 263,529
  4. Step 4: Simplify right side
    168,870x = 69,447,533,841
  5. Step 5: Solve for x
    x = 69,447,533,841/168,870
  6. Step 6: Final answer
    x = 411,248.50

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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.