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Finding the Third Proportional to 194,015.75 and 289,828.75

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Solution

The third proportional to 194,015.75 and 289,828.75 is: 432,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,015.75 : 289,828.75 = 289,828.75 : x
  2. Step 2: Convert to fraction form
    194,015.75/289,828.75 = 289,828.75/x
  3. Step 3: Cross multiply
    194,015.75x = 289,828.75 × 289,828.75
  4. Step 4: Simplify right side
    194,015.75x = 84,000,704,326.56
  5. Step 5: Solve for x
    x = 84,000,704,326.56/194,015.75
  6. Step 6: Final answer
    x = 432,958.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.