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Finding the Third Proportional to 194,217.75 and 401,922

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Solution

The third proportional to 194,217.75 and 401,922 is: 831,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,217.75 : 401,922 = 401,922 : x
  2. Step 2: Convert to fraction form
    194,217.75/401,922 = 401,922/x
  3. Step 3: Cross multiply
    194,217.75x = 401,922 × 401,922
  4. Step 4: Simplify right side
    194,217.75x = 161,541,294,084
  5. Step 5: Solve for x
    x = 161,541,294,084/194,217.75
  6. Step 6: Final answer
    x = 831,753.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.