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Finding the Third Proportional to 150,502 and 323,982

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Solution

The third proportional to 150,502 and 323,982 is: 697,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,502 : 323,982 = 323,982 : x
  2. Step 2: Convert to fraction form
    150,502/323,982 = 323,982/x
  3. Step 3: Cross multiply
    150,502x = 323,982 × 323,982
  4. Step 4: Simplify right side
    150,502x = 104,964,336,324
  5. Step 5: Solve for x
    x = 104,964,336,324/150,502
  6. Step 6: Final answer
    x = 697,428.18

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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.