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Finding the Third Proportional to 190,900 and 411,304

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Solution

The third proportional to 190,900 and 411,304 is: 886,175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,900 : 411,304 = 411,304 : x
  2. Step 2: Convert to fraction form
    190,900/411,304 = 411,304/x
  3. Step 3: Cross multiply
    190,900x = 411,304 × 411,304
  4. Step 4: Simplify right side
    190,900x = 169,170,980,416
  5. Step 5: Solve for x
    x = 169,170,980,416/190,900
  6. Step 6: Final answer
    x = 886,175.91

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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.