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Finding the Third Proportional to 171,835.50 and 377,544

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Solution

The third proportional to 171,835.50 and 377,544 is: 829,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,835.50 : 377,544 = 377,544 : x
  2. Step 2: Convert to fraction form
    171,835.50/377,544 = 377,544/x
  3. Step 3: Cross multiply
    171,835.50x = 377,544 × 377,544
  4. Step 4: Simplify right side
    171,835.50x = 142,539,471,936
  5. Step 5: Solve for x
    x = 142,539,471,936/171,835.50
  6. Step 6: Final answer
    x = 829,511.20

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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.