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Finding the Third Proportional to 194,961 and 418,935

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Solution

The third proportional to 194,961 and 418,935 is: 900,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,961 : 418,935 = 418,935 : x
  2. Step 2: Convert to fraction form
    194,961/418,935 = 418,935/x
  3. Step 3: Cross multiply
    194,961x = 418,935 × 418,935
  4. Step 4: Simplify right side
    194,961x = 175,506,534,225
  5. Step 5: Solve for x
    x = 175,506,534,225/194,961
  6. Step 6: Final answer
    x = 900,213.55

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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.