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Finding the Third Proportional to 190,864 and 406,304

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Solution

The third proportional to 190,864 and 406,304 is: 864,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,864 : 406,304 = 406,304 : x
  2. Step 2: Convert to fraction form
    190,864/406,304 = 406,304/x
  3. Step 3: Cross multiply
    190,864x = 406,304 × 406,304
  4. Step 4: Simplify right side
    190,864x = 165,082,940,416
  5. Step 5: Solve for x
    x = 165,082,940,416/190,864
  6. Step 6: Final answer
    x = 864,924.45

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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.