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Finding the Third Proportional to 193,662 and 424,651.50

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Solution

The third proportional to 193,662 and 424,651.50 is: 931,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,662 : 424,651.50 = 424,651.50 : x
  2. Step 2: Convert to fraction form
    193,662/424,651.50 = 424,651.50/x
  3. Step 3: Cross multiply
    193,662x = 424,651.50 × 424,651.50
  4. Step 4: Simplify right side
    193,662x = 180,328,896,452.25
  5. Step 5: Solve for x
    x = 180,328,896,452.25/193,662
  6. Step 6: Final answer
    x = 931,152.71

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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.