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Finding the Third Proportional to 171,241 and 272,716

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Solution

The third proportional to 171,241 and 272,716 is: 434,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,241 : 272,716 = 272,716 : x
  2. Step 2: Convert to fraction form
    171,241/272,716 = 272,716/x
  3. Step 3: Cross multiply
    171,241x = 272,716 × 272,716
  4. Step 4: Simplify right side
    171,241x = 74,374,016,656
  5. Step 5: Solve for x
    x = 74,374,016,656/171,241
  6. Step 6: Final answer
    x = 434,323.65

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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.