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Finding the Third Proportional to 152,723 and 335,569

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Solution

The third proportional to 152,723 and 335,569 is: 737,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,723 : 335,569 = 335,569 : x
  2. Step 2: Convert to fraction form
    152,723/335,569 = 335,569/x
  3. Step 3: Cross multiply
    152,723x = 335,569 × 335,569
  4. Step 4: Simplify right side
    152,723x = 112,606,553,761
  5. Step 5: Solve for x
    x = 112,606,553,761/152,723
  6. Step 6: Final answer
    x = 737,325.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.