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Finding the Third Proportional to 208,182.56 and 447,939.94

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Solution

The third proportional to 208,182.56 and 447,939.94 is: 963,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,182.56 : 447,939.94 = 447,939.94 : x
  2. Step 2: Convert to fraction form
    208,182.56/447,939.94 = 447,939.94/x
  3. Step 3: Cross multiply
    208,182.56x = 447,939.94 × 447,939.94
  4. Step 4: Simplify right side
    208,182.56x = 200,650,187,607.50
  5. Step 5: Solve for x
    x = 200,650,187,607.50/208,182.56
  6. Step 6: Final answer
    x = 963,818.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.