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Finding the Third Proportional to 170,813 and 236,846

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Solution

The third proportional to 170,813 and 236,846 is: 328,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,813 : 236,846 = 236,846 : x
  2. Step 2: Convert to fraction form
    170,813/236,846 = 236,846/x
  3. Step 3: Cross multiply
    170,813x = 236,846 × 236,846
  4. Step 4: Simplify right side
    170,813x = 56,096,027,716
  5. Step 5: Solve for x
    x = 56,096,027,716/170,813
  6. Step 6: Final answer
    x = 328,406.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.