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Finding the Third Proportional to 150,960 and 308,475

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Solution

The third proportional to 150,960 and 308,475 is: 630,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,960 : 308,475 = 308,475 : x
  2. Step 2: Convert to fraction form
    150,960/308,475 = 308,475/x
  3. Step 3: Cross multiply
    150,960x = 308,475 × 308,475
  4. Step 4: Simplify right side
    150,960x = 95,156,825,625
  5. Step 5: Solve for x
    x = 95,156,825,625/150,960
  6. Step 6: Final answer
    x = 630,344.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.