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Finding the Third Proportional to 186,187 and 401,899

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Solution

The third proportional to 186,187 and 401,899 is: 867,529.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,187 : 401,899 = 401,899 : x
  2. Step 2: Convert to fraction form
    186,187/401,899 = 401,899/x
  3. Step 3: Cross multiply
    186,187x = 401,899 × 401,899
  4. Step 4: Simplify right side
    186,187x = 161,522,806,201
  5. Step 5: Solve for x
    x = 161,522,806,201/186,187
  6. Step 6: Final answer
    x = 867,529.99

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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.