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Finding the Third Proportional to 172,048.88 and 379,089.56

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Solution

The third proportional to 172,048.88 and 379,089.56 is: 835,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,048.88 : 379,089.56 = 379,089.56 : x
  2. Step 2: Convert to fraction form
    172,048.88/379,089.56 = 379,089.56/x
  3. Step 3: Cross multiply
    172,048.88x = 379,089.56 × 379,089.56
  4. Step 4: Simplify right side
    172,048.88x = 143,708,896,396.44
  5. Step 5: Solve for x
    x = 143,708,896,396.44/172,048.88
  6. Step 6: Final answer
    x = 835,279.49

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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.