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Finding the Third Proportional to 151,536 and 227,304

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Solution

The third proportional to 151,536 and 227,304 is: 340,956

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,536 : 227,304 = 227,304 : x
  2. Step 2: Convert to fraction form
    151,536/227,304 = 227,304/x
  3. Step 3: Cross multiply
    151,536x = 227,304 × 227,304
  4. Step 4: Simplify right side
    151,536x = 51,667,108,416
  5. Step 5: Solve for x
    x = 51,667,108,416/151,536
  6. Step 6: Final answer
    x = 340,956

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.