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Finding the Third Proportional to 186,224 and 401,972

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Solution

The third proportional to 186,224 and 401,972 is: 867,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,224 : 401,972 = 401,972 : x
  2. Step 2: Convert to fraction form
    186,224/401,972 = 401,972/x
  3. Step 3: Cross multiply
    186,224x = 401,972 × 401,972
  4. Step 4: Simplify right side
    186,224x = 161,581,488,784
  5. Step 5: Solve for x
    x = 161,581,488,784/186,224
  6. Step 6: Final answer
    x = 867,672.74

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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.