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Finding the Third Proportional to 195,680.25 and 424,821.38

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Solution

The third proportional to 195,680.25 and 424,821.38 is: 922,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,680.25 : 424,821.38 = 424,821.38 : x
  2. Step 2: Convert to fraction form
    195,680.25/424,821.38 = 424,821.38/x
  3. Step 3: Cross multiply
    195,680.25x = 424,821.38 × 424,821.38
  4. Step 4: Simplify right side
    195,680.25x = 180,473,200,656.89
  5. Step 5: Solve for x
    x = 180,473,200,656.89/195,680.25
  6. Step 6: Final answer
    x = 922,286.23

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