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Finding the Third Proportional to 169,640.58 and 353,234.67

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Solution

The third proportional to 169,640.58 and 353,234.67 is: 735,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,640.58 : 353,234.67 = 353,234.67 : x
  2. Step 2: Convert to fraction form
    169,640.58/353,234.67 = 353,234.67/x
  3. Step 3: Cross multiply
    169,640.58x = 353,234.67 × 353,234.67
  4. Step 4: Simplify right side
    169,640.58x = 124,774,733,414.64
  5. Step 5: Solve for x
    x = 124,774,733,414.64/169,640.58
  6. Step 6: Final answer
    x = 735,524.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.