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Finding the Third Proportional to 171,231 and 272,702

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Solution

The third proportional to 171,231 and 272,702 is: 434,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,231 : 272,702 = 272,702 : x
  2. Step 2: Convert to fraction form
    171,231/272,702 = 272,702/x
  3. Step 3: Cross multiply
    171,231x = 272,702 × 272,702
  4. Step 4: Simplify right side
    171,231x = 74,366,380,804
  5. Step 5: Solve for x
    x = 74,366,380,804/171,231
  6. Step 6: Final answer
    x = 434,304.42

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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.