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Finding the Third Proportional to 175,059 and 384,057

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Solution

The third proportional to 175,059 and 384,057 is: 842,571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,059 : 384,057 = 384,057 : x
  2. Step 2: Convert to fraction form
    175,059/384,057 = 384,057/x
  3. Step 3: Cross multiply
    175,059x = 384,057 × 384,057
  4. Step 4: Simplify right side
    175,059x = 147,499,779,249
  5. Step 5: Solve for x
    x = 147,499,779,249/175,059
  6. Step 6: Final answer
    x = 842,571.81

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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.