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Finding the Third Proportional to 158,605 and 227,971

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Solution

The third proportional to 158,605 and 227,971 is: 327,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,605 : 227,971 = 227,971 : x
  2. Step 2: Convert to fraction form
    158,605/227,971 = 227,971/x
  3. Step 3: Cross multiply
    158,605x = 227,971 × 227,971
  4. Step 4: Simplify right side
    158,605x = 51,970,776,841
  5. Step 5: Solve for x
    x = 51,970,776,841/158,605
  6. Step 6: Final answer
    x = 327,674.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.