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Finding the Third Proportional to 186,212 and 401,944

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Solution

The third proportional to 186,212 and 401,944 is: 867,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,212 : 401,944 = 401,944 : x
  2. Step 2: Convert to fraction form
    186,212/401,944 = 401,944/x
  3. Step 3: Cross multiply
    186,212x = 401,944 × 401,944
  4. Step 4: Simplify right side
    186,212x = 161,558,979,136
  5. Step 5: Solve for x
    x = 161,558,979,136/186,212
  6. Step 6: Final answer
    x = 867,607.78

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