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Finding the Third Proportional to 159,196 and 335,672

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Solution

The third proportional to 159,196 and 335,672 is: 707,779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,196 : 335,672 = 335,672 : x
  2. Step 2: Convert to fraction form
    159,196/335,672 = 335,672/x
  3. Step 3: Cross multiply
    159,196x = 335,672 × 335,672
  4. Step 4: Simplify right side
    159,196x = 112,675,691,584
  5. Step 5: Solve for x
    x = 112,675,691,584/159,196
  6. Step 6: Final answer
    x = 707,779.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.