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Finding the Third Proportional to 170,877 and 263,009

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Solution

The third proportional to 170,877 and 263,009 is: 404,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,877 : 263,009 = 263,009 : x
  2. Step 2: Convert to fraction form
    170,877/263,009 = 263,009/x
  3. Step 3: Cross multiply
    170,877x = 263,009 × 263,009
  4. Step 4: Simplify right side
    170,877x = 69,173,734,081
  5. Step 5: Solve for x
    x = 69,173,734,081/170,877
  6. Step 6: Final answer
    x = 404,815.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.