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Finding the Third Proportional to 196,836 and 305,624

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Solution

The third proportional to 196,836 and 305,624 is: 474,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,836 : 305,624 = 305,624 : x
  2. Step 2: Convert to fraction form
    196,836/305,624 = 305,624/x
  3. Step 3: Cross multiply
    196,836x = 305,624 × 305,624
  4. Step 4: Simplify right side
    196,836x = 93,406,029,376
  5. Step 5: Solve for x
    x = 93,406,029,376/196,836
  6. Step 6: Final answer
    x = 474,537.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.