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Finding the Third Proportional to 150,334 and 323,924

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Solution

The third proportional to 150,334 and 323,924 is: 697,957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,334 : 323,924 = 323,924 : x
  2. Step 2: Convert to fraction form
    150,334/323,924 = 323,924/x
  3. Step 3: Cross multiply
    150,334x = 323,924 × 323,924
  4. Step 4: Simplify right side
    150,334x = 104,926,757,776
  5. Step 5: Solve for x
    x = 104,926,757,776/150,334
  6. Step 6: Final answer
    x = 697,957.60

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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.