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Finding the Third Proportional to 156,041 and 336,187

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Solution

The third proportional to 156,041 and 336,187 is: 724,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,041 : 336,187 = 336,187 : x
  2. Step 2: Convert to fraction form
    156,041/336,187 = 336,187/x
  3. Step 3: Cross multiply
    156,041x = 336,187 × 336,187
  4. Step 4: Simplify right side
    156,041x = 113,021,698,969
  5. Step 5: Solve for x
    x = 113,021,698,969/156,041
  6. Step 6: Final answer
    x = 724,307.71

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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.