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Finding the Third Proportional to 194,050.50 and 424,169.25

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Solution

The third proportional to 194,050.50 and 424,169.25 is: 927,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,050.50 : 424,169.25 = 424,169.25 : x
  2. Step 2: Convert to fraction form
    194,050.50/424,169.25 = 424,169.25/x
  3. Step 3: Cross multiply
    194,050.50x = 424,169.25 × 424,169.25
  4. Step 4: Simplify right side
    194,050.50x = 179,919,552,645.56
  5. Step 5: Solve for x
    x = 179,919,552,645.56/194,050.50
  6. Step 6: Final answer
    x = 927,179.02

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