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Finding the Third Proportional to 194,940 and 285,492

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Solution

The third proportional to 194,940 and 285,492 is: 418,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,940 : 285,492 = 285,492 : x
  2. Step 2: Convert to fraction form
    194,940/285,492 = 285,492/x
  3. Step 3: Cross multiply
    194,940x = 285,492 × 285,492
  4. Step 4: Simplify right side
    194,940x = 81,505,682,064
  5. Step 5: Solve for x
    x = 81,505,682,064/194,940
  6. Step 6: Final answer
    x = 418,106.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.