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Finding the Third Proportional to 116,370.56 and 271,953.56

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Solution

The third proportional to 116,370.56 and 271,953.56 is: 635,545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,370.56 : 271,953.56 = 271,953.56 : x
  2. Step 2: Convert to fraction form
    116,370.56/271,953.56 = 271,953.56/x
  3. Step 3: Cross multiply
    116,370.56x = 271,953.56 × 271,953.56
  4. Step 4: Simplify right side
    116,370.56x = 73,958,740,156.44
  5. Step 5: Solve for x
    x = 73,958,740,156.44/116,370.56
  6. Step 6: Final answer
    x = 635,545.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.