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Finding the Third Proportional to 194,832 and 418,780

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Solution

The third proportional to 194,832 and 418,780 is: 900,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,832 : 418,780 = 418,780 : x
  2. Step 2: Convert to fraction form
    194,832/418,780 = 418,780/x
  3. Step 3: Cross multiply
    194,832x = 418,780 × 418,780
  4. Step 4: Simplify right side
    194,832x = 175,376,688,400
  5. Step 5: Solve for x
    x = 175,376,688,400/194,832
  6. Step 6: Final answer
    x = 900,143.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.