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Finding the Third Proportional to 150,128 and 323,552

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Solution

The third proportional to 150,128 and 323,552 is: 697,310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,128 : 323,552 = 323,552 : x
  2. Step 2: Convert to fraction form
    150,128/323,552 = 323,552/x
  3. Step 3: Cross multiply
    150,128x = 323,552 × 323,552
  4. Step 4: Simplify right side
    150,128x = 104,685,896,704
  5. Step 5: Solve for x
    x = 104,685,896,704/150,128
  6. Step 6: Final answer
    x = 697,310.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.