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Finding the Third Proportional to 152,545 and 225,704

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Solution

The third proportional to 152,545 and 225,704 is: 333,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,545 : 225,704 = 225,704 : x
  2. Step 2: Convert to fraction form
    152,545/225,704 = 225,704/x
  3. Step 3: Cross multiply
    152,545x = 225,704 × 225,704
  4. Step 4: Simplify right side
    152,545x = 50,942,295,616
  5. Step 5: Solve for x
    x = 50,942,295,616/152,545
  6. Step 6: Final answer
    x = 333,949.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.