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Finding the Third Proportional to 199,800 and 427,939.50

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Solution

The third proportional to 199,800 and 427,939.50 is: 916,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,800 : 427,939.50 = 427,939.50 : x
  2. Step 2: Convert to fraction form
    199,800/427,939.50 = 427,939.50/x
  3. Step 3: Cross multiply
    199,800x = 427,939.50 × 427,939.50
  4. Step 4: Simplify right side
    199,800x = 183,132,215,660.25
  5. Step 5: Solve for x
    x = 183,132,215,660.25/199,800
  6. Step 6: Final answer
    x = 916,577.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.