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Finding the Third Proportional to 171,976 and 233,539

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Solution

The third proportional to 171,976 and 233,539 is: 317,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,976 : 233,539 = 233,539 : x
  2. Step 2: Convert to fraction form
    171,976/233,539 = 233,539/x
  3. Step 3: Cross multiply
    171,976x = 233,539 × 233,539
  4. Step 4: Simplify right side
    171,976x = 54,540,464,521
  5. Step 5: Solve for x
    x = 54,540,464,521/171,976
  6. Step 6: Final answer
    x = 317,139.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.