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Finding the Third Proportional to 152,262 and 330,474

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Solution

The third proportional to 152,262 and 330,474 is: 717,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,262 : 330,474 = 330,474 : x
  2. Step 2: Convert to fraction form
    152,262/330,474 = 330,474/x
  3. Step 3: Cross multiply
    152,262x = 330,474 × 330,474
  4. Step 4: Simplify right side
    152,262x = 109,213,064,676
  5. Step 5: Solve for x
    x = 109,213,064,676/152,262
  6. Step 6: Final answer
    x = 717,270.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.