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Finding the Third Proportional to 150,332 and 323,920

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Solution

The third proportional to 150,332 and 323,920 is: 697,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,332 : 323,920 = 323,920 : x
  2. Step 2: Convert to fraction form
    150,332/323,920 = 323,920/x
  3. Step 3: Cross multiply
    150,332x = 323,920 × 323,920
  4. Step 4: Simplify right side
    150,332x = 104,924,166,400
  5. Step 5: Solve for x
    x = 104,924,166,400/150,332
  6. Step 6: Final answer
    x = 697,949.65

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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.