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Finding the Third Proportional to 171,384 and 263,592

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Solution

The third proportional to 171,384 and 263,592 is: 405,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,384 : 263,592 = 263,592 : x
  2. Step 2: Convert to fraction form
    171,384/263,592 = 263,592/x
  3. Step 3: Cross multiply
    171,384x = 263,592 × 263,592
  4. Step 4: Simplify right side
    171,384x = 69,480,742,464
  5. Step 5: Solve for x
    x = 69,480,742,464/171,384
  6. Step 6: Final answer
    x = 405,409.74

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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.