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Finding the Third Proportional to 136,768.50 and 296,217

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Solution

The third proportional to 136,768.50 and 296,217 is: 641,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,768.50 : 296,217 = 296,217 : x
  2. Step 2: Convert to fraction form
    136,768.50/296,217 = 296,217/x
  3. Step 3: Cross multiply
    136,768.50x = 296,217 × 296,217
  4. Step 4: Simplify right side
    136,768.50x = 87,744,511,089
  5. Step 5: Solve for x
    x = 87,744,511,089/136,768.50
  6. Step 6: Final answer
    x = 641,554.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.