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Finding the Third Proportional to 194,354 and 299,832

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Solution

The third proportional to 194,354 and 299,832 is: 462,554.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,354 : 299,832 = 299,832 : x
  2. Step 2: Convert to fraction form
    194,354/299,832 = 299,832/x
  3. Step 3: Cross multiply
    194,354x = 299,832 × 299,832
  4. Step 4: Simplify right side
    194,354x = 89,899,228,224
  5. Step 5: Solve for x
    x = 89,899,228,224/194,354
  6. Step 6: Final answer
    x = 462,554.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.