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Finding the Third Proportional to 186,174.50 and 401,866

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Solution

The third proportional to 186,174.50 and 401,866 is: 867,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,174.50 : 401,866 = 401,866 : x
  2. Step 2: Convert to fraction form
    186,174.50/401,866 = 401,866/x
  3. Step 3: Cross multiply
    186,174.50x = 401,866 × 401,866
  4. Step 4: Simplify right side
    186,174.50x = 161,496,281,956
  5. Step 5: Solve for x
    x = 161,496,281,956/186,174.50
  6. Step 6: Final answer
    x = 867,445.77

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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.