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Finding the Third Proportional to 131,924.81 and 311,115.94

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Solution

The third proportional to 131,924.81 and 311,115.94 is: 733,699.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,924.81 : 311,115.94 = 311,115.94 : x
  2. Step 2: Convert to fraction form
    131,924.81/311,115.94 = 311,115.94/x
  3. Step 3: Cross multiply
    131,924.81x = 311,115.94 × 311,115.94
  4. Step 4: Simplify right side
    131,924.81x = 96,793,126,566.50
  5. Step 5: Solve for x
    x = 96,793,126,566.50/131,924.81
  6. Step 6: Final answer
    x = 733,699.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.