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Finding the Third Proportional to 194,630 and 414,368

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Solution

The third proportional to 194,630 and 414,368 is: 882,191.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,630 : 414,368 = 414,368 : x
  2. Step 2: Convert to fraction form
    194,630/414,368 = 414,368/x
  3. Step 3: Cross multiply
    194,630x = 414,368 × 414,368
  4. Step 4: Simplify right side
    194,630x = 171,700,839,424
  5. Step 5: Solve for x
    x = 171,700,839,424/194,630
  6. Step 6: Final answer
    x = 882,191.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.