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Finding the Third Proportional to 158,270 and 226,717

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Solution

The third proportional to 158,270 and 226,717 is: 324,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,270 : 226,717 = 226,717 : x
  2. Step 2: Convert to fraction form
    158,270/226,717 = 226,717/x
  3. Step 3: Cross multiply
    158,270x = 226,717 × 226,717
  4. Step 4: Simplify right side
    158,270x = 51,400,598,089
  5. Step 5: Solve for x
    x = 51,400,598,089/158,270
  6. Step 6: Final answer
    x = 324,765.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.