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Finding the Third Proportional to 150,516 and 313,425

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Solution

The third proportional to 150,516 and 313,425 is: 652,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,516 : 313,425 = 313,425 : x
  2. Step 2: Convert to fraction form
    150,516/313,425 = 313,425/x
  3. Step 3: Cross multiply
    150,516x = 313,425 × 313,425
  4. Step 4: Simplify right side
    150,516x = 98,235,230,625
  5. Step 5: Solve for x
    x = 98,235,230,625/150,516
  6. Step 6: Final answer
    x = 652,656.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.