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Finding the Third Proportional to 198,147.50 and 428,613.50

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Solution

The third proportional to 198,147.50 and 428,613.50 is: 927,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,147.50 : 428,613.50 = 428,613.50 : x
  2. Step 2: Convert to fraction form
    198,147.50/428,613.50 = 428,613.50/x
  3. Step 3: Cross multiply
    198,147.50x = 428,613.50 × 428,613.50
  4. Step 4: Simplify right side
    198,147.50x = 183,709,532,382.25
  5. Step 5: Solve for x
    x = 183,709,532,382.25/198,147.50
  6. Step 6: Final answer
    x = 927,135.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.