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Finding the Third Proportional to 131,845.50 and 279,405

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Solution

The third proportional to 131,845.50 and 279,405 is: 592,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,845.50 : 279,405 = 279,405 : x
  2. Step 2: Convert to fraction form
    131,845.50/279,405 = 279,405/x
  3. Step 3: Cross multiply
    131,845.50x = 279,405 × 279,405
  4. Step 4: Simplify right side
    131,845.50x = 78,067,154,025
  5. Step 5: Solve for x
    x = 78,067,154,025/131,845.50
  6. Step 6: Final answer
    x = 592,110.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.