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Finding the Third Proportional to 150,346 and 323,372

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Solution

The third proportional to 150,346 and 323,372 is: 695,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,346 : 323,372 = 323,372 : x
  2. Step 2: Convert to fraction form
    150,346/323,372 = 323,372/x
  3. Step 3: Cross multiply
    150,346x = 323,372 × 323,372
  4. Step 4: Simplify right side
    150,346x = 104,569,450,384
  5. Step 5: Solve for x
    x = 104,569,450,384/150,346
  6. Step 6: Final answer
    x = 695,525.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.