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Finding the Third Proportional to 188,214 and 401,946

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Solution

The third proportional to 188,214 and 401,946 is: 858,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,214 : 401,946 = 401,946 : x
  2. Step 2: Convert to fraction form
    188,214/401,946 = 401,946/x
  3. Step 3: Cross multiply
    188,214x = 401,946 × 401,946
  4. Step 4: Simplify right side
    188,214x = 161,560,586,916
  5. Step 5: Solve for x
    x = 161,560,586,916/188,214
  6. Step 6: Final answer
    x = 858,387.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.