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Finding the Third Proportional to 148,954.88 and 331,010.63

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Solution

The third proportional to 148,954.88 and 331,010.63 is: 735,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,954.88 : 331,010.63 = 331,010.63 : x
  2. Step 2: Convert to fraction form
    148,954.88/331,010.63 = 331,010.63/x
  3. Step 3: Cross multiply
    148,954.88x = 331,010.63 × 331,010.63
  4. Step 4: Simplify right side
    148,954.88x = 109,568,033,862.89
  5. Step 5: Solve for x
    x = 109,568,033,862.89/148,954.88
  6. Step 6: Final answer
    x = 735,578.70

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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.