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Finding the Third Proportional to 189,940 and 405,304

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Solution

The third proportional to 189,940 and 405,304 is: 864,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,940 : 405,304 = 405,304 : x
  2. Step 2: Convert to fraction form
    189,940/405,304 = 405,304/x
  3. Step 3: Cross multiply
    189,940x = 405,304 × 405,304
  4. Step 4: Simplify right side
    189,940x = 164,271,332,416
  5. Step 5: Solve for x
    x = 164,271,332,416/189,940
  6. Step 6: Final answer
    x = 864,859.07

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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.