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Finding the Third Proportional to 148,469 and 330,058

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Solution

The third proportional to 148,469 and 330,058 is: 733,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,469 : 330,058 = 330,058 : x
  2. Step 2: Convert to fraction form
    148,469/330,058 = 330,058/x
  3. Step 3: Cross multiply
    148,469x = 330,058 × 330,058
  4. Step 4: Simplify right side
    148,469x = 108,938,283,364
  5. Step 5: Solve for x
    x = 108,938,283,364/148,469
  6. Step 6: Final answer
    x = 733,744.31

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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.