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Finding the Third Proportional to 148,419 and 330,057

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Solution

The third proportional to 148,419 and 330,057 is: 733,987.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,419 : 330,057 = 330,057 : x
  2. Step 2: Convert to fraction form
    148,419/330,057 = 330,057/x
  3. Step 3: Cross multiply
    148,419x = 330,057 × 330,057
  4. Step 4: Simplify right side
    148,419x = 108,937,623,249
  5. Step 5: Solve for x
    x = 108,937,623,249/148,419
  6. Step 6: Final answer
    x = 733,987.05

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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.