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Finding the Third Proportional to 198,154 and 427,892

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Solution

The third proportional to 198,154 and 427,892 is: 923,986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,154 : 427,892 = 427,892 : x
  2. Step 2: Convert to fraction form
    198,154/427,892 = 427,892/x
  3. Step 3: Cross multiply
    198,154x = 427,892 × 427,892
  4. Step 4: Simplify right side
    198,154x = 183,091,563,664
  5. Step 5: Solve for x
    x = 183,091,563,664/198,154
  6. Step 6: Final answer
    x = 923,986.21

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