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Finding the Third Proportional to 186,165 and 401,847.75

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Solution

The third proportional to 186,165 and 401,847.75 is: 867,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,165 : 401,847.75 = 401,847.75 : x
  2. Step 2: Convert to fraction form
    186,165/401,847.75 = 401,847.75/x
  3. Step 3: Cross multiply
    186,165x = 401,847.75 × 401,847.75
  4. Step 4: Simplify right side
    186,165x = 161,481,614,180.06
  5. Step 5: Solve for x
    x = 161,481,614,180.06/186,165
  6. Step 6: Final answer
    x = 867,411.24

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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.