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Finding the Third Proportional to 150,124 and 323,522

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Solution

The third proportional to 150,124 and 323,522 is: 697,200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,124 : 323,522 = 323,522 : x
  2. Step 2: Convert to fraction form
    150,124/323,522 = 323,522/x
  3. Step 3: Cross multiply
    150,124x = 323,522 × 323,522
  4. Step 4: Simplify right side
    150,124x = 104,666,484,484
  5. Step 5: Solve for x
    x = 104,666,484,484/150,124
  6. Step 6: Final answer
    x = 697,200.21

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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.