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Finding the Third Proportional to 194,754 and 409,186

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Solution

The third proportional to 194,754 and 409,186 is: 859,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,754 : 409,186 = 409,186 : x
  2. Step 2: Convert to fraction form
    194,754/409,186 = 409,186/x
  3. Step 3: Cross multiply
    194,754x = 409,186 × 409,186
  4. Step 4: Simplify right side
    194,754x = 167,433,182,596
  5. Step 5: Solve for x
    x = 167,433,182,596/194,754
  6. Step 6: Final answer
    x = 859,716.27

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.