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Finding the Third Proportional to 172,768 and 377,544

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Solution

The third proportional to 172,768 and 377,544 is: 825,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,768 : 377,544 = 377,544 : x
  2. Step 2: Convert to fraction form
    172,768/377,544 = 377,544/x
  3. Step 3: Cross multiply
    172,768x = 377,544 × 377,544
  4. Step 4: Simplify right side
    172,768x = 142,539,471,936
  5. Step 5: Solve for x
    x = 142,539,471,936/172,768
  6. Step 6: Final answer
    x = 825,033.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.