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Finding the Third Proportional to 186,016 and 401,984

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Solution

The third proportional to 186,016 and 401,984 is: 868,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,016 : 401,984 = 401,984 : x
  2. Step 2: Convert to fraction form
    186,016/401,984 = 401,984/x
  3. Step 3: Cross multiply
    186,016x = 401,984 × 401,984
  4. Step 4: Simplify right side
    186,016x = 161,591,136,256
  5. Step 5: Solve for x
    x = 161,591,136,256/186,016
  6. Step 6: Final answer
    x = 868,694.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.