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Finding the Third Proportional to 171,802 and 260,079

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Solution

The third proportional to 171,802 and 260,079 is: 393,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,802 : 260,079 = 260,079 : x
  2. Step 2: Convert to fraction form
    171,802/260,079 = 260,079/x
  3. Step 3: Cross multiply
    171,802x = 260,079 × 260,079
  4. Step 4: Simplify right side
    171,802x = 67,641,086,241
  5. Step 5: Solve for x
    x = 67,641,086,241/171,802
  6. Step 6: Final answer
    x = 393,715.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.