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Finding the Third Proportional to 192,261.38 and 414,106.88

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Solution

The third proportional to 192,261.38 and 414,106.88 is: 891,934.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,261.38 : 414,106.88 = 414,106.88 : x
  2. Step 2: Convert to fraction form
    192,261.38/414,106.88 = 414,106.88/x
  3. Step 3: Cross multiply
    192,261.38x = 414,106.88 × 414,106.88
  4. Step 4: Simplify right side
    192,261.38x = 171,484,503,922.27
  5. Step 5: Solve for x
    x = 171,484,503,922.27/192,261.38
  6. Step 6: Final answer
    x = 891,934.24

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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.