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Finding the Third Proportional to 195,868.13 and 424,662.75

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Solution

The third proportional to 195,868.13 and 424,662.75 is: 920,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,868.13 : 424,662.75 = 424,662.75 : x
  2. Step 2: Convert to fraction form
    195,868.13/424,662.75 = 424,662.75/x
  3. Step 3: Cross multiply
    195,868.13x = 424,662.75 × 424,662.75
  4. Step 4: Simplify right side
    195,868.13x = 180,338,451,237.56
  5. Step 5: Solve for x
    x = 180,338,451,237.56/195,868.13
  6. Step 6: Final answer
    x = 920,713.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.