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Finding the Third Proportional to 148,212 and 329,583

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Solution

The third proportional to 148,212 and 329,583 is: 732,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,212 : 329,583 = 329,583 : x
  2. Step 2: Convert to fraction form
    148,212/329,583 = 329,583/x
  3. Step 3: Cross multiply
    148,212x = 329,583 × 329,583
  4. Step 4: Simplify right side
    148,212x = 108,624,953,889
  5. Step 5: Solve for x
    x = 108,624,953,889/148,212
  6. Step 6: Final answer
    x = 732,902.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.