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Finding the Third Proportional to 198,052 and 427,670

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Solution

The third proportional to 198,052 and 427,670 is: 923,503.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,052 : 427,670 = 427,670 : x
  2. Step 2: Convert to fraction form
    198,052/427,670 = 427,670/x
  3. Step 3: Cross multiply
    198,052x = 427,670 × 427,670
  4. Step 4: Simplify right side
    198,052x = 182,901,628,900
  5. Step 5: Solve for x
    x = 182,901,628,900/198,052
  6. Step 6: Final answer
    x = 923,503.06

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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.