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Finding the Third Proportional to 194,779.69 and 419,562.28

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Solution

The third proportional to 194,779.69 and 419,562.28 is: 903,751.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,779.69 : 419,562.28 = 419,562.28 : x
  2. Step 2: Convert to fraction form
    194,779.69/419,562.28 = 419,562.28/x
  3. Step 3: Cross multiply
    194,779.69x = 419,562.28 × 419,562.28
  4. Step 4: Simplify right side
    194,779.69x = 176,032,507,847.70
  5. Step 5: Solve for x
    x = 176,032,507,847.70/194,779.69
  6. Step 6: Final answer
    x = 903,751.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.