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Finding the Third Proportional to 198,052.59 and 427,668.19

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Solution

The third proportional to 198,052.59 and 427,668.19 is: 923,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,052.59 : 427,668.19 = 427,668.19 : x
  2. Step 2: Convert to fraction form
    198,052.59/427,668.19 = 427,668.19/x
  3. Step 3: Cross multiply
    198,052.59x = 427,668.19 × 427,668.19
  4. Step 4: Simplify right side
    198,052.59x = 182,900,078,599.54
  5. Step 5: Solve for x
    x = 182,900,078,599.54/198,052.59
  6. Step 6: Final answer
    x = 923,492.47

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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.