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Finding the Third Proportional to 194,823.50 and 419,743

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Solution

The third proportional to 194,823.50 and 419,743 is: 904,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,823.50 : 419,743 = 419,743 : x
  2. Step 2: Convert to fraction form
    194,823.50/419,743 = 419,743/x
  3. Step 3: Cross multiply
    194,823.50x = 419,743 × 419,743
  4. Step 4: Simplify right side
    194,823.50x = 176,184,186,049
  5. Step 5: Solve for x
    x = 176,184,186,049/194,823.50
  6. Step 6: Final answer
    x = 904,327.18

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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.