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Finding the Third Proportional to 171,317 and 272,816

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Solution

The third proportional to 171,317 and 272,816 is: 434,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,317 : 272,816 = 272,816 : x
  2. Step 2: Convert to fraction form
    171,317/272,816 = 272,816/x
  3. Step 3: Cross multiply
    171,317x = 272,816 × 272,816
  4. Step 4: Simplify right side
    171,317x = 74,428,569,856
  5. Step 5: Solve for x
    x = 74,428,569,856/171,317
  6. Step 6: Final answer
    x = 434,449.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.