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Finding the Third Proportional to 186,167 and 401,852

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Solution

The third proportional to 186,167 and 401,852 is: 867,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,167 : 401,852 = 401,852 : x
  2. Step 2: Convert to fraction form
    186,167/401,852 = 401,852/x
  3. Step 3: Cross multiply
    186,167x = 401,852 × 401,852
  4. Step 4: Simplify right side
    186,167x = 161,485,029,904
  5. Step 5: Solve for x
    x = 161,485,029,904/186,167
  6. Step 6: Final answer
    x = 867,420.27

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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.