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Finding the Third Proportional to 171,034.50 and 268,301.06

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Solution

The third proportional to 171,034.50 and 268,301.06 is: 420,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,034.50 : 268,301.06 = 268,301.06 : x
  2. Step 2: Convert to fraction form
    171,034.50/268,301.06 = 268,301.06/x
  3. Step 3: Cross multiply
    171,034.50x = 268,301.06 × 268,301.06
  4. Step 4: Simplify right side
    171,034.50x = 71,985,460,138.63
  5. Step 5: Solve for x
    x = 71,985,460,138.63/171,034.50
  6. Step 6: Final answer
    x = 420,882.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.