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Finding the Third Proportional to 186,180 and 401,877

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Solution

The third proportional to 186,180 and 401,877 is: 867,467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,180 : 401,877 = 401,877 : x
  2. Step 2: Convert to fraction form
    186,180/401,877 = 401,877/x
  3. Step 3: Cross multiply
    186,180x = 401,877 × 401,877
  4. Step 4: Simplify right side
    186,180x = 161,505,123,129
  5. Step 5: Solve for x
    x = 161,505,123,129/186,180
  6. Step 6: Final answer
    x = 867,467.63

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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.