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Finding the Third Proportional to 161,052 and 342,846

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Solution

The third proportional to 161,052 and 342,846 is: 729,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,052 : 342,846 = 342,846 : x
  2. Step 2: Convert to fraction form
    161,052/342,846 = 342,846/x
  3. Step 3: Cross multiply
    161,052x = 342,846 × 342,846
  4. Step 4: Simplify right side
    161,052x = 117,543,379,716
  5. Step 5: Solve for x
    x = 117,543,379,716/161,052
  6. Step 6: Final answer
    x = 729,847.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.